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Finding the Fourth Proportional to 402,008.80, 603,013.20 and 165,521.20

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Solution

The fourth proportional to 402,008.80, 603,013.20 and 165,521.20 is: 248,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,008.80 : 603,013.20 = 165,521.20 : x
  2. Step 2: Convert to fraction form
    402,008.80/603,013.20 = 165,521.20/x
  3. Step 3: Cross multiply
    402,008.80x = 603,013.20 × 165,521.20
  4. Step 4: Simplify right side
    402,008.80x = 99,811,468,479.84
  5. Step 5: Solve for x
    x = 99,811,468,479.84/402,008.80
  6. Step 6: Final answer
    x = 248,281.80

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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.