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Finding the Fourth Proportional to 472,488.80, 708,279.60 and 156,783.20

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Solution

The fourth proportional to 472,488.80, 708,279.60 and 156,783.20 is: 235,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,488.80 : 708,279.60 = 156,783.20 : x
  2. Step 2: Convert to fraction form
    472,488.80/708,279.60 = 156,783.20/x
  3. Step 3: Cross multiply
    472,488.80x = 708,279.60 × 156,783.20
  4. Step 4: Simplify right side
    472,488.80x = 111,046,342,182.72
  5. Step 5: Solve for x
    x = 111,046,342,182.72/472,488.80
  6. Step 6: Final answer
    x = 235,024.28

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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.