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Finding the Fourth Proportional to 472,057.02, 708,702.92 and 280,281.50

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Solution

The fourth proportional to 472,057.02, 708,702.92 and 280,281.50 is: 420,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,057.02 : 708,702.92 = 280,281.50 : x
  2. Step 2: Convert to fraction form
    472,057.02/708,702.92 = 280,281.50/x
  3. Step 3: Cross multiply
    472,057.02x = 708,702.92 × 280,281.50
  4. Step 4: Simplify right side
    472,057.02x = 198,636,317,471.98
  5. Step 5: Solve for x
    x = 198,636,317,471.98/472,057.02
  6. Step 6: Final answer
    x = 420,788.82

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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.