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Finding the Fourth Proportional to 542,653, 748,861.20 and 300,972.52

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Solution

The fourth proportional to 542,653, 748,861.20 and 300,972.52 is: 415,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,653 : 748,861.20 = 300,972.52 : x
  2. Step 2: Convert to fraction form
    542,653/748,861.20 = 300,972.52/x
  3. Step 3: Cross multiply
    542,653x = 748,861.20 × 300,972.52
  4. Step 4: Simplify right side
    542,653x = 225,386,642,494.22
  5. Step 5: Solve for x
    x = 225,386,642,494.22/542,653
  6. Step 6: Final answer
    x = 415,342.11

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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.