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Finding the Fourth Proportional to 542,420, 748,539.56 and 300,701.96

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Solution

The fourth proportional to 542,420, 748,539.56 and 300,701.96 is: 414,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,420 : 748,539.56 = 300,701.96 : x
  2. Step 2: Convert to fraction form
    542,420/748,539.56 = 300,701.96/x
  3. Step 3: Cross multiply
    542,420x = 748,539.56 × 300,701.96
  4. Step 4: Simplify right side
    542,420x = 225,087,312,829.54
  5. Step 5: Solve for x
    x = 225,087,312,829.54/542,420
  6. Step 6: Final answer
    x = 414,968.68

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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.