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Finding the Fourth Proportional to 542,141.70, 748,159.94 and 300,428.30

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Solution

The fourth proportional to 542,141.70, 748,159.94 and 300,428.30 is: 414,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,141.70 : 748,159.94 = 300,428.30 : x
  2. Step 2: Convert to fraction form
    542,141.70/748,159.94 = 300,428.30/x
  3. Step 3: Cross multiply
    542,141.70x = 748,159.94 × 300,428.30
  4. Step 4: Simplify right side
    542,141.70x = 224,768,418,902.30
  5. Step 5: Solve for x
    x = 224,768,418,902.30/542,141.70
  6. Step 6: Final answer
    x = 414,593.49

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1.5x scale

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.