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Finding the Fourth Proportional to 542,116.30, 748,099.02 and 300,409.06

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Solution

The fourth proportional to 542,116.30, 748,099.02 and 300,409.06 is: 414,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,116.30 : 748,099.02 = 300,409.06 : x
  2. Step 2: Convert to fraction form
    542,116.30/748,099.02 = 300,409.06/x
  3. Step 3: Cross multiply
    542,116.30x = 748,099.02 × 300,409.06
  4. Step 4: Simplify right side
    542,116.30x = 224,735,723,385.12
  5. Step 5: Solve for x
    x = 224,735,723,385.12/542,116.30
  6. Step 6: Final answer
    x = 414,552.60

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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.