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Finding the Fourth Proportional to 390,168.82, 585,253.23 and 109,686.10

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Solution

The fourth proportional to 390,168.82, 585,253.23 and 109,686.10 is: 164,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,168.82 : 585,253.23 = 109,686.10 : x
  2. Step 2: Convert to fraction form
    390,168.82/585,253.23 = 109,686.10/x
  3. Step 3: Cross multiply
    390,168.82x = 585,253.23 × 109,686.10
  4. Step 4: Simplify right side
    390,168.82x = 64,194,144,311.10
  5. Step 5: Solve for x
    x = 64,194,144,311.10/390,168.82
  6. Step 6: Final answer
    x = 164,529.15

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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.