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Finding the Fourth Proportional to 442,527.10, 610,099.42 and 289,301.86

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Solution

The fourth proportional to 442,527.10, 610,099.42 and 289,301.86 is: 398,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,527.10 : 610,099.42 = 289,301.86 : x
  2. Step 2: Convert to fraction form
    442,527.10/610,099.42 = 289,301.86/x
  3. Step 3: Cross multiply
    442,527.10x = 610,099.42 × 289,301.86
  4. Step 4: Simplify right side
    442,527.10x = 176,502,896,990.92
  5. Step 5: Solve for x
    x = 176,502,896,990.92/442,527.10
  6. Step 6: Final answer
    x = 398,852.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.