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Finding the Fourth Proportional to 511,203.60, 766,805.40 and 456,091.20

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Solution

The fourth proportional to 511,203.60, 766,805.40 and 456,091.20 is: 684,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,203.60 : 766,805.40 = 456,091.20 : x
  2. Step 2: Convert to fraction form
    511,203.60/766,805.40 = 456,091.20/x
  3. Step 3: Cross multiply
    511,203.60x = 766,805.40 × 456,091.20
  4. Step 4: Simplify right side
    511,203.60x = 349,733,195,052.48
  5. Step 5: Solve for x
    x = 349,733,195,052.48/511,203.60
  6. Step 6: Final answer
    x = 684,136.80

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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.