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Finding the Fourth Proportional to 542,133.14, 748,148.12 and 300,419.74

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Solution

The fourth proportional to 542,133.14, 748,148.12 and 300,419.74 is: 414,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,133.14 : 748,148.12 = 300,419.74 : x
  2. Step 2: Convert to fraction form
    542,133.14/748,148.12 = 300,419.74/x
  3. Step 3: Cross multiply
    542,133.14x = 748,148.12 × 300,419.74
  4. Step 4: Simplify right side
    542,133.14x = 224,758,467,200.65
  5. Step 5: Solve for x
    x = 224,758,467,200.65/542,133.14
  6. Step 6: Final answer
    x = 414,581.68

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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.