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Finding the Fourth Proportional to 561,543.91, 841,978.72 and 257,557.28

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Solution

The fourth proportional to 561,543.91, 841,978.72 and 257,557.28 is: 386,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,543.91 : 841,978.72 = 257,557.28 : x
  2. Step 2: Convert to fraction form
    561,543.91/841,978.72 = 257,557.28/x
  3. Step 3: Cross multiply
    561,543.91x = 841,978.72 × 257,557.28
  4. Step 4: Simplify right side
    561,543.91x = 216,857,743,604.38
  5. Step 5: Solve for x
    x = 216,857,743,604.38/561,543.91
  6. Step 6: Final answer
    x = 386,181.28

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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.