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Finding the Fourth Proportional to 472,680.96, 709,159.68 and 140,265.60

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Solution

The fourth proportional to 472,680.96, 709,159.68 and 140,265.60 is: 210,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,680.96 : 709,159.68 = 140,265.60 : x
  2. Step 2: Convert to fraction form
    472,680.96/709,159.68 = 140,265.60/x
  3. Step 3: Cross multiply
    472,680.96x = 709,159.68 × 140,265.60
  4. Step 4: Simplify right side
    472,680.96x = 99,470,708,011.01
  5. Step 5: Solve for x
    x = 99,470,708,011.01/472,680.96
  6. Step 6: Final answer
    x = 210,439.42

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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.