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Finding the Fourth Proportional to 486,147.80, 729,221.70 and 314,905.70

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Solution

The fourth proportional to 486,147.80, 729,221.70 and 314,905.70 is: 472,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,147.80 : 729,221.70 = 314,905.70 : x
  2. Step 2: Convert to fraction form
    486,147.80/729,221.70 = 314,905.70/x
  3. Step 3: Cross multiply
    486,147.80x = 729,221.70 × 314,905.70
  4. Step 4: Simplify right side
    486,147.80x = 229,636,069,893.69
  5. Step 5: Solve for x
    x = 229,636,069,893.69/486,147.80
  6. Step 6: Final answer
    x = 472,358.55

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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.