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Finding the Fourth Proportional to 586,638.42, 809,398.13 and 331,984.14

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Solution

The fourth proportional to 586,638.42, 809,398.13 and 331,984.14 is: 458,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,638.42 : 809,398.13 = 331,984.14 : x
  2. Step 2: Convert to fraction form
    586,638.42/809,398.13 = 331,984.14/x
  3. Step 3: Cross multiply
    586,638.42x = 809,398.13 × 331,984.14
  4. Step 4: Simplify right side
    586,638.42x = 268,707,340,445.74
  5. Step 5: Solve for x
    x = 268,707,340,445.74/586,638.42
  6. Step 6: Final answer
    x = 458,045.93

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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.