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Finding the Fourth Proportional to 390,184.52, 538,446.42 and 218,097.68

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Solution

The fourth proportional to 390,184.52, 538,446.42 and 218,097.68 is: 300,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,184.52 : 538,446.42 = 218,097.68 : x
  2. Step 2: Convert to fraction form
    390,184.52/538,446.42 = 218,097.68/x
  3. Step 3: Cross multiply
    390,184.52x = 538,446.42 × 218,097.68
  4. Step 4: Simplify right side
    390,184.52x = 117,433,912,314.07
  5. Step 5: Solve for x
    x = 117,433,912,314.07/390,184.52
  6. Step 6: Final answer
    x = 300,970.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.