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Finding the Fourth Proportional to 472,069.74, 708,721.90 and 280,294.20

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Solution

The fourth proportional to 472,069.74, 708,721.90 and 280,294.20 is: 420,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,069.74 : 708,721.90 = 280,294.20 : x
  2. Step 2: Convert to fraction form
    472,069.74/708,721.90 = 280,294.20/x
  3. Step 3: Cross multiply
    472,069.74x = 708,721.90 × 280,294.20
  4. Step 4: Simplify right side
    472,069.74x = 198,650,637,982.98
  5. Step 5: Solve for x
    x = 198,650,637,982.98/472,069.74
  6. Step 6: Final answer
    x = 420,807.82

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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.