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Finding the Fourth Proportional to 415,018.81, 572,747.28 and 253,823.27

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Solution

The fourth proportional to 415,018.81, 572,747.28 and 253,823.27 is: 350,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,018.81 : 572,747.28 = 253,823.27 : x
  2. Step 2: Convert to fraction form
    415,018.81/572,747.28 = 253,823.27/x
  3. Step 3: Cross multiply
    415,018.81x = 572,747.28 × 253,823.27
  4. Step 4: Simplify right side
    415,018.81x = 145,376,588,290.52
  5. Step 5: Solve for x
    x = 145,376,588,290.52/415,018.81
  6. Step 6: Final answer
    x = 350,289.16

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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.