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Finding the Fourth Proportional to 395,689.40, 546,061.54 and 242,812.06

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Solution

The fourth proportional to 395,689.40, 546,061.54 and 242,812.06 is: 335,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,689.40 : 546,061.54 = 242,812.06 : x
  2. Step 2: Convert to fraction form
    395,689.40/546,061.54 = 242,812.06/x
  3. Step 3: Cross multiply
    395,689.40x = 546,061.54 × 242,812.06
  4. Step 4: Simplify right side
    395,689.40x = 132,590,327,414.17
  5. Step 5: Solve for x
    x = 132,590,327,414.17/395,689.40
  6. Step 6: Final answer
    x = 335,086.88

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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.