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Finding the Fourth Proportional to 462,002.40, 693,003.60 and 209,403.90

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Solution

The fourth proportional to 462,002.40, 693,003.60 and 209,403.90 is: 314,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,002.40 : 693,003.60 = 209,403.90 : x
  2. Step 2: Convert to fraction form
    462,002.40/693,003.60 = 209,403.90/x
  3. Step 3: Cross multiply
    462,002.40x = 693,003.60 × 209,403.90
  4. Step 4: Simplify right side
    462,002.40x = 145,117,656,554.04
  5. Step 5: Solve for x
    x = 145,117,656,554.04/462,002.40
  6. Step 6: Final answer
    x = 314,105.85

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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.