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Finding the Fourth Proportional to 511,254.60, 766,881.90 and 456,142.20

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Solution

The fourth proportional to 511,254.60, 766,881.90 and 456,142.20 is: 684,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,254.60 : 766,881.90 = 456,142.20 : x
  2. Step 2: Convert to fraction form
    511,254.60/766,881.90 = 456,142.20/x
  3. Step 3: Cross multiply
    511,254.60x = 766,881.90 × 456,142.20
  4. Step 4: Simplify right side
    511,254.60x = 349,807,197,006.18
  5. Step 5: Solve for x
    x = 349,807,197,006.18/511,254.60
  6. Step 6: Final answer
    x = 684,213.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.