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Finding the Fourth Proportional to 574,454, 861,681 and 258,541.76

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Solution

The fourth proportional to 574,454, 861,681 and 258,541.76 is: 387,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,454 : 861,681 = 258,541.76 : x
  2. Step 2: Convert to fraction form
    574,454/861,681 = 258,541.76/x
  3. Step 3: Cross multiply
    574,454x = 861,681 × 258,541.76
  4. Step 4: Simplify right side
    574,454x = 222,780,522,298.56
  5. Step 5: Solve for x
    x = 222,780,522,298.56/574,454
  6. Step 6: Final answer
    x = 387,812.64

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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.