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Finding the Fourth Proportional to 518,818.28, 773,069.60 and 462,223.50

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Solution

The fourth proportional to 518,818.28, 773,069.60 and 462,223.50 is: 688,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,818.28 : 773,069.60 = 462,223.50 : x
  2. Step 2: Convert to fraction form
    518,818.28/773,069.60 = 462,223.50/x
  3. Step 3: Cross multiply
    518,818.28x = 773,069.60 × 462,223.50
  4. Step 4: Simplify right side
    518,818.28x = 357,330,933,944.48
  5. Step 5: Solve for x
    x = 357,330,933,944.48/518,818.28
  6. Step 6: Final answer
    x = 688,740.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.