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Finding the Fourth Proportional to 495,061.20, 742,591.80 and 317,914.20

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Solution

The fourth proportional to 495,061.20, 742,591.80 and 317,914.20 is: 476,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,061.20 : 742,591.80 = 317,914.20 : x
  2. Step 2: Convert to fraction form
    495,061.20/742,591.80 = 317,914.20/x
  3. Step 3: Cross multiply
    495,061.20x = 742,591.80 × 317,914.20
  4. Step 4: Simplify right side
    495,061.20x = 236,080,478,023.56
  5. Step 5: Solve for x
    x = 236,080,478,023.56/495,061.20
  6. Step 6: Final answer
    x = 476,871.30

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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.