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Finding the Fourth Proportional to 472,780.80, 709,171.20 and 192,499.20

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Solution

The fourth proportional to 472,780.80, 709,171.20 and 192,499.20 is: 288,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,780.80 : 709,171.20 = 192,499.20 : x
  2. Step 2: Convert to fraction form
    472,780.80/709,171.20 = 192,499.20/x
  3. Step 3: Cross multiply
    472,780.80x = 709,171.20 × 192,499.20
  4. Step 4: Simplify right side
    472,780.80x = 136,514,888,663.04
  5. Step 5: Solve for x
    x = 136,514,888,663.04/472,780.80
  6. Step 6: Final answer
    x = 288,748.80

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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.