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Finding the Fourth Proportional to 516,851.20, 775,302.40 and 268,019.20

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Solution

The fourth proportional to 516,851.20, 775,302.40 and 268,019.20 is: 402,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,851.20 : 775,302.40 = 268,019.20 : x
  2. Step 2: Convert to fraction form
    516,851.20/775,302.40 = 268,019.20/x
  3. Step 3: Cross multiply
    516,851.20x = 775,302.40 × 268,019.20
  4. Step 4: Simplify right side
    516,851.20x = 207,795,929,006.08
  5. Step 5: Solve for x
    x = 207,795,929,006.08/516,851.20
  6. Step 6: Final answer
    x = 402,042.08

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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.