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Finding the Fourth Proportional to 359,005.32, 538,607.76 and 156,619.12

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Solution

The fourth proportional to 359,005.32, 538,607.76 and 156,619.12 is: 234,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,005.32 : 538,607.76 = 156,619.12 : x
  2. Step 2: Convert to fraction form
    359,005.32/538,607.76 = 156,619.12/x
  3. Step 3: Cross multiply
    359,005.32x = 538,607.76 × 156,619.12
  4. Step 4: Simplify right side
    359,005.32x = 84,356,273,396.37
  5. Step 5: Solve for x
    x = 84,356,273,396.37/359,005.32
  6. Step 6: Final answer
    x = 234,972.21

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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.