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Finding the Fourth Proportional to 359,302.40, 538,910.40 and 148,918.40

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Solution

The fourth proportional to 359,302.40, 538,910.40 and 148,918.40 is: 223,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,302.40 : 538,910.40 = 148,918.40 : x
  2. Step 2: Convert to fraction form
    359,302.40/538,910.40 = 148,918.40/x
  3. Step 3: Cross multiply
    359,302.40x = 538,910.40 × 148,918.40
  4. Step 4: Simplify right side
    359,302.40x = 80,253,674,511.36
  5. Step 5: Solve for x
    x = 80,253,674,511.36/359,302.40
  6. Step 6: Final answer
    x = 223,359.70

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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.