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Finding the Fourth Proportional to 402,365.76, 603,390.08 and 146,137.76

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Solution

The fourth proportional to 402,365.76, 603,390.08 and 146,137.76 is: 219,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,365.76 : 603,390.08 = 146,137.76 : x
  2. Step 2: Convert to fraction form
    402,365.76/603,390.08 = 146,137.76/x
  3. Step 3: Cross multiply
    402,365.76x = 603,390.08 × 146,137.76
  4. Step 4: Simplify right side
    402,365.76x = 88,178,070,949.78
  5. Step 5: Solve for x
    x = 88,178,070,949.78/402,365.76
  6. Step 6: Final answer
    x = 219,149.04

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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.