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Finding the Fourth Proportional to 359,288.55, 538,960.16 and 209,543.75

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Solution

The fourth proportional to 359,288.55, 538,960.16 and 209,543.75 is: 314,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,288.55 : 538,960.16 = 209,543.75 : x
  2. Step 2: Convert to fraction form
    359,288.55/538,960.16 = 209,543.75/x
  3. Step 3: Cross multiply
    359,288.55x = 538,960.16 × 209,543.75
  4. Step 4: Simplify right side
    359,288.55x = 112,935,729,284.48
  5. Step 5: Solve for x
    x = 112,935,729,284.48/359,288.55
  6. Step 6: Final answer
    x = 314,331.56

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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.