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Finding the Fourth Proportional to 546,287.76, 819,402.48 and 209,489.76

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Solution

The fourth proportional to 546,287.76, 819,402.48 and 209,489.76 is: 314,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,287.76 : 819,402.48 = 209,489.76 : x
  2. Step 2: Convert to fraction form
    546,287.76/819,402.48 = 209,489.76/x
  3. Step 3: Cross multiply
    546,287.76x = 819,402.48 × 209,489.76
  4. Step 4: Simplify right side
    546,287.76x = 171,656,428,878.61
  5. Step 5: Solve for x
    x = 171,656,428,878.61/546,287.76
  6. Step 6: Final answer
    x = 314,223.46

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1.5x scale

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.