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Finding the Fourth Proportional to 438,598.20, 656,439.30 and 318,313.20

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Solution

The fourth proportional to 438,598.20, 656,439.30 and 318,313.20 is: 476,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,598.20 : 656,439.30 = 318,313.20 : x
  2. Step 2: Convert to fraction form
    438,598.20/656,439.30 = 318,313.20/x
  3. Step 3: Cross multiply
    438,598.20x = 656,439.30 × 318,313.20
  4. Step 4: Simplify right side
    438,598.20x = 208,953,294,188.76
  5. Step 5: Solve for x
    x = 208,953,294,188.76/438,598.20
  6. Step 6: Final answer
    x = 476,411.65

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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.