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Finding the Fourth Proportional to 390,034.68, 585,073.80 and 109,530

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Solution

The fourth proportional to 390,034.68, 585,073.80 and 109,530 is: 164,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,034.68 : 585,073.80 = 109,530 : x
  2. Step 2: Convert to fraction form
    390,034.68/585,073.80 = 109,530/x
  3. Step 3: Cross multiply
    390,034.68x = 585,073.80 × 109,530
  4. Step 4: Simplify right side
    390,034.68x = 64,083,133,314.00
  5. Step 5: Solve for x
    x = 64,083,133,314.00/390,034.68
  6. Step 6: Final answer
    x = 164,301.12

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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.