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Finding the Fourth Proportional to 542,139.42, 748,156.79 and 300,426

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Solution

The fourth proportional to 542,139.42, 748,156.79 and 300,426 is: 414,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,139.42 : 748,156.79 = 300,426 : x
  2. Step 2: Convert to fraction form
    542,139.42/748,156.79 = 300,426/x
  3. Step 3: Cross multiply
    542,139.42x = 748,156.79 × 300,426
  4. Step 4: Simplify right side
    542,139.42x = 224,765,751,792.54
  5. Step 5: Solve for x
    x = 224,765,751,792.54/542,139.42
  6. Step 6: Final answer
    x = 414,590.31

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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.