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Finding the Fourth Proportional to 578,323.56, 865,920.42 and 409,146.96

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Solution

The fourth proportional to 578,323.56, 865,920.42 and 409,146.96 is: 612,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,323.56 : 865,920.42 = 409,146.96 : x
  2. Step 2: Convert to fraction form
    578,323.56/865,920.42 = 409,146.96/x
  3. Step 3: Cross multiply
    578,323.56x = 865,920.42 × 409,146.96
  4. Step 4: Simplify right side
    578,323.56x = 354,288,707,444.92
  5. Step 5: Solve for x
    x = 354,288,707,444.92/578,323.56
  6. Step 6: Final answer
    x = 612,613.30

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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.