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Finding the Fourth Proportional to 642,645.20, 963,046.20 and 472,840.40

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Solution

The fourth proportional to 642,645.20, 963,046.20 and 472,840.40 is: 708,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,645.20 : 963,046.20 = 472,840.40 : x
  2. Step 2: Convert to fraction form
    642,645.20/963,046.20 = 472,840.40/x
  3. Step 3: Cross multiply
    642,645.20x = 963,046.20 × 472,840.40
  4. Step 4: Simplify right side
    642,645.20x = 455,367,150,426.48
  5. Step 5: Solve for x
    x = 455,367,150,426.48/642,645.20
  6. Step 6: Final answer
    x = 708,582.51

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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.