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Finding the Fourth Proportional to 546,264, 819,541.80 and 172,287

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Solution

The fourth proportional to 546,264, 819,541.80 and 172,287 is: 258,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,264 : 819,541.80 = 172,287 : x
  2. Step 2: Convert to fraction form
    546,264/819,541.80 = 172,287/x
  3. Step 3: Cross multiply
    546,264x = 819,541.80 × 172,287
  4. Step 4: Simplify right side
    546,264x = 141,196,398,096.60
  5. Step 5: Solve for x
    x = 141,196,398,096.60/546,264
  6. Step 6: Final answer
    x = 258,476.48

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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.