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Finding the Fourth Proportional to 472,392,947.80, 708,589,421.70 and 239,940,654.40

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Solution

The fourth proportional to 472,392,947.80, 708,589,421.70 and 239,940,654.40 is: 359,910,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,947.80 : 708,589,421.70 = 239,940,654.40 : x
  2. Step 2: Convert to fraction form
    472,392,947.80/708,589,421.70 = 239,940,654.40/x
  3. Step 3: Cross multiply
    472,392,947.80x = 708,589,421.70 × 239,940,654.40
  4. Step 4: Simplify right side
    472,392,947.80x = 170,019,409,543,615,584
  5. Step 5: Solve for x
    x = 170,019,409,543,615,584/472,392,947.80
  6. Step 6: Final answer
    x = 359,910,981.60

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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.