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Finding the Fourth Proportional to 511,258.60, 766,887.90 and 456,146.20

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Solution

The fourth proportional to 511,258.60, 766,887.90 and 456,146.20 is: 684,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,258.60 : 766,887.90 = 456,146.20 : x
  2. Step 2: Convert to fraction form
    511,258.60/766,887.90 = 456,146.20/x
  3. Step 3: Cross multiply
    511,258.60x = 766,887.90 × 456,146.20
  4. Step 4: Simplify right side
    511,258.60x = 349,813,001,410.98
  5. Step 5: Solve for x
    x = 349,813,001,410.98/511,258.60
  6. Step 6: Final answer
    x = 684,219.30

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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.