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Finding the Fourth Proportional to 402,877.60, 603,625.20 and 192,061.60

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Solution

The fourth proportional to 402,877.60, 603,625.20 and 192,061.60 is: 287,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,877.60 : 603,625.20 = 192,061.60 : x
  2. Step 2: Convert to fraction form
    402,877.60/603,625.20 = 192,061.60/x
  3. Step 3: Cross multiply
    402,877.60x = 603,625.20 × 192,061.60
  4. Step 4: Simplify right side
    402,877.60x = 115,933,221,712.32
  5. Step 5: Solve for x
    x = 115,933,221,712.32/402,877.60
  6. Step 6: Final answer
    x = 287,762.89

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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.