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Finding the Fourth Proportional to 388,909.60, 583,267.20 and 148,971.40

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Solution

The fourth proportional to 388,909.60, 583,267.20 and 148,971.40 is: 223,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,909.60 : 583,267.20 = 148,971.40 : x
  2. Step 2: Convert to fraction form
    388,909.60/583,267.20 = 148,971.40/x
  3. Step 3: Cross multiply
    388,909.60x = 583,267.20 × 148,971.40
  4. Step 4: Simplify right side
    388,909.60x = 86,890,131,358.08
  5. Step 5: Solve for x
    x = 86,890,131,358.08/388,909.60
  6. Step 6: Final answer
    x = 223,419.87

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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.