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Finding the Fourth Proportional to 488,396,957.70, 732,595,436.55 and 294,686,713.20

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Solution

The fourth proportional to 488,396,957.70, 732,595,436.55 and 294,686,713.20 is: 442,030,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,396,957.70 : 732,595,436.55 = 294,686,713.20 : x
  2. Step 2: Convert to fraction form
    488,396,957.70/732,595,436.55 = 294,686,713.20/x
  3. Step 3: Cross multiply
    488,396,957.70x = 732,595,436.55 × 294,686,713.20
  4. Step 4: Simplify right side
    488,396,957.70x = 215,886,141,302,238,624
  5. Step 5: Solve for x
    x = 215,886,141,302,238,624/488,396,957.70
  6. Step 6: Final answer
    x = 442,030,069.80

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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.