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Finding the Fourth Proportional to 510,487.60, 764,953.80 and 431,172.40

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Solution

The fourth proportional to 510,487.60, 764,953.80 and 431,172.40 is: 646,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,487.60 : 764,953.80 = 431,172.40 : x
  2. Step 2: Convert to fraction form
    510,487.60/764,953.80 = 431,172.40/x
  3. Step 3: Cross multiply
    510,487.60x = 764,953.80 × 431,172.40
  4. Step 4: Simplify right side
    510,487.60x = 329,826,965,835.12
  5. Step 5: Solve for x
    x = 329,826,965,835.12/510,487.60
  6. Step 6: Final answer
    x = 646,101.82

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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.