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Finding the Fourth Proportional to 472,000.20, 708,000.30 and 156,505.80

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Solution

The fourth proportional to 472,000.20, 708,000.30 and 156,505.80 is: 234,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,000.20 : 708,000.30 = 156,505.80 : x
  2. Step 2: Convert to fraction form
    472,000.20/708,000.30 = 156,505.80/x
  3. Step 3: Cross multiply
    472,000.20x = 708,000.30 × 156,505.80
  4. Step 4: Simplify right side
    472,000.20x = 110,806,153,351.74
  5. Step 5: Solve for x
    x = 110,806,153,351.74/472,000.20
  6. Step 6: Final answer
    x = 234,758.70

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1.5x scale

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.