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Finding the Fourth Proportional to 306,359.52, 459,291.42 and 137,756.40

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Solution

The fourth proportional to 306,359.52, 459,291.42 and 137,756.40 is: 206,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,359.52 : 459,291.42 = 137,756.40 : x
  2. Step 2: Convert to fraction form
    306,359.52/459,291.42 = 137,756.40/x
  3. Step 3: Cross multiply
    306,359.52x = 459,291.42 × 137,756.40
  4. Step 4: Simplify right side
    306,359.52x = 63,270,332,570.09
  5. Step 5: Solve for x
    x = 63,270,332,570.09/306,359.52
  6. Step 6: Final answer
    x = 206,523.15

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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.