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Finding the Fourth Proportional to 472,620.62, 709,041.88 and 290,454.46

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Solution

The fourth proportional to 472,620.62, 709,041.88 and 290,454.46 is: 435,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,620.62 : 709,041.88 = 290,454.46 : x
  2. Step 2: Convert to fraction form
    472,620.62/709,041.88 = 290,454.46/x
  3. Step 3: Cross multiply
    472,620.62x = 709,041.88 × 290,454.46
  4. Step 4: Simplify right side
    472,620.62x = 205,944,376,372.79
  5. Step 5: Solve for x
    x = 205,944,376,372.79/472,620.62
  6. Step 6: Final answer
    x = 435,749.88

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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.