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Finding the Fourth Proportional to 472,396,073.80, 708,594,110.70 and 407,772,848.20

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Solution

The fourth proportional to 472,396,073.80, 708,594,110.70 and 407,772,848.20 is: 611,659,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396,073.80 : 708,594,110.70 = 407,772,848.20 : x
  2. Step 2: Convert to fraction form
    472,396,073.80/708,594,110.70 = 407,772,848.20/x
  3. Step 3: Cross multiply
    472,396,073.80x = 708,594,110.70 × 407,772,848.20
  4. Step 4: Simplify right side
    472,396,073.80x = 288,945,438,737,885,120
  5. Step 5: Solve for x
    x = 288,945,438,737,885,120/472,396,073.80
  6. Step 6: Final answer
    x = 611,659,272.30

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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.