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Finding the Fourth Proportional to 359,384.20, 538,881.90 and 149,043.40

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Solution

The fourth proportional to 359,384.20, 538,881.90 and 149,043.40 is: 223,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,384.20 : 538,881.90 = 149,043.40 : x
  2. Step 2: Convert to fraction form
    359,384.20/538,881.90 = 149,043.40/x
  3. Step 3: Cross multiply
    359,384.20x = 538,881.90 × 149,043.40
  4. Step 4: Simplify right side
    359,384.20x = 80,316,790,574.46
  5. Step 5: Solve for x
    x = 80,316,790,574.46/359,384.20
  6. Step 6: Final answer
    x = 223,484.48

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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.