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Finding the Fourth Proportional to 390,527.12, 585,790.76 and 110,007.92

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Solution

The fourth proportional to 390,527.12, 585,790.76 and 110,007.92 is: 165,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,527.12 : 585,790.76 = 110,007.92 : x
  2. Step 2: Convert to fraction form
    390,527.12/585,790.76 = 110,007.92/x
  3. Step 3: Cross multiply
    390,527.12x = 585,790.76 × 110,007.92
  4. Step 4: Simplify right side
    390,527.12x = 64,441,623,062.82
  5. Step 5: Solve for x
    x = 64,441,623,062.82/390,527.12
  6. Step 6: Final answer
    x = 165,011.90

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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.