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Finding the Fourth Proportional to 510,106.60, 765,159.90 and 431,374.60

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Solution

The fourth proportional to 510,106.60, 765,159.90 and 431,374.60 is: 647,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,106.60 : 765,159.90 = 431,374.60 : x
  2. Step 2: Convert to fraction form
    510,106.60/765,159.90 = 431,374.60/x
  3. Step 3: Cross multiply
    510,106.60x = 765,159.90 × 431,374.60
  4. Step 4: Simplify right side
    510,106.60x = 330,070,545,798.54
  5. Step 5: Solve for x
    x = 330,070,545,798.54/510,106.60
  6. Step 6: Final answer
    x = 647,061.90

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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.