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Finding the Fourth Proportional to 472,653,942.30, 708,502,616.55 and 278,465,400.90

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Solution

The fourth proportional to 472,653,942.30, 708,502,616.55 and 278,465,400.90 is: 417,416,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,653,942.30 : 708,502,616.55 = 278,465,400.90 : x
  2. Step 2: Convert to fraction form
    472,653,942.30/708,502,616.55 = 278,465,400.90/x
  3. Step 3: Cross multiply
    472,653,942.30x = 708,502,616.55 × 278,465,400.90
  4. Step 4: Simplify right side
    472,653,942.30x = 197,293,465,156,294,688
  5. Step 5: Solve for x
    x = 197,293,465,156,294,688/472,653,942.30
  6. Step 6: Final answer
    x = 417,416,311.38

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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.