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Finding the Fourth Proportional to 542,148, 748,180.64 and 300,407.96

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Solution

The fourth proportional to 542,148, 748,180.64 and 300,407.96 is: 414,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,148 : 748,180.64 = 300,407.96 : x
  2. Step 2: Convert to fraction form
    542,148/748,180.64 = 300,407.96/x
  3. Step 3: Cross multiply
    542,148x = 748,180.64 × 300,407.96
  4. Step 4: Simplify right side
    542,148x = 224,759,419,773.89
  5. Step 5: Solve for x
    x = 224,759,419,773.89/542,148
  6. Step 6: Final answer
    x = 414,572.07

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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.