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Finding the Fourth Proportional to 472,355.20, 708,378.64 and 156,727.36

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Solution

The fourth proportional to 472,355.20, 708,378.64 and 156,727.36 is: 235,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,355.20 : 708,378.64 = 156,727.36 : x
  2. Step 2: Convert to fraction form
    472,355.20/708,378.64 = 156,727.36/x
  3. Step 3: Cross multiply
    472,355.20x = 708,378.64 × 156,727.36
  4. Step 4: Simplify right side
    472,355.20x = 111,022,314,127.59
  5. Step 5: Solve for x
    x = 111,022,314,127.59/472,355.20
  6. Step 6: Final answer
    x = 235,039.89

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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.