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Finding the Fourth Proportional to 390,088.81, 585,302.25 and 137,549.69

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Solution

The fourth proportional to 390,088.81, 585,302.25 and 137,549.69 is: 206,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,088.81 : 585,302.25 = 137,549.69 : x
  2. Step 2: Convert to fraction form
    390,088.81/585,302.25 = 137,549.69/x
  3. Step 3: Cross multiply
    390,088.81x = 585,302.25 × 137,549.69
  4. Step 4: Simplify right side
    390,088.81x = 80,508,146,120.31
  5. Step 5: Solve for x
    x = 80,508,146,120.31/390,088.81
  6. Step 6: Final answer
    x = 206,384.15

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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.