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Finding the Fourth Proportional to 390,708.56, 539,006.81 and 229,491.02

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Solution

The fourth proportional to 390,708.56, 539,006.81 and 229,491.02 is: 316,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,708.56 : 539,006.81 = 229,491.02 : x
  2. Step 2: Convert to fraction form
    390,708.56/539,006.81 = 229,491.02/x
  3. Step 3: Cross multiply
    390,708.56x = 539,006.81 × 229,491.02
  4. Step 4: Simplify right side
    390,708.56x = 123,697,222,813.91
  5. Step 5: Solve for x
    x = 123,697,222,813.91/390,708.56
  6. Step 6: Final answer
    x = 316,597.16

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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.