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Finding the Fourth Proportional to 359,214.24, 538,005.72 and 278,605.08

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Solution

The fourth proportional to 359,214.24, 538,005.72 and 278,605.08 is: 417,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,214.24 : 538,005.72 = 278,605.08 : x
  2. Step 2: Convert to fraction form
    359,214.24/538,005.72 = 278,605.08/x
  3. Step 3: Cross multiply
    359,214.24x = 538,005.72 × 278,605.08
  4. Step 4: Simplify right side
    359,214.24x = 149,891,126,661.06
  5. Step 5: Solve for x
    x = 149,891,126,661.06/359,214.24
  6. Step 6: Final answer
    x = 417,275.01

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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.