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Finding the Fourth Proportional to 832,457.10, 1,248,180 and 326,411.79

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Solution

The fourth proportional to 832,457.10, 1,248,180 and 326,411.79 is: 489,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,457.10 : 1,248,180 = 326,411.79 : x
  2. Step 2: Convert to fraction form
    832,457.10/1,248,180 = 326,411.79/x
  3. Step 3: Cross multiply
    832,457.10x = 1,248,180 × 326,411.79
  4. Step 4: Simplify right side
    832,457.10x = 407,420,668,042.20
  5. Step 5: Solve for x
    x = 407,420,668,042.20/832,457.10
  6. Step 6: Final answer
    x = 489,419.42

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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.