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Finding the Fourth Proportional to 542,705.40, 748,978.28 and 301,065.86

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Solution

The fourth proportional to 542,705.40, 748,978.28 and 301,065.86 is: 415,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,705.40 : 748,978.28 = 301,065.86 : x
  2. Step 2: Convert to fraction form
    542,705.40/748,978.28 = 301,065.86/x
  3. Step 3: Cross multiply
    542,705.40x = 748,978.28 × 301,065.86
  4. Step 4: Simplify right side
    542,705.40x = 225,491,791,485.63
  5. Step 5: Solve for x
    x = 225,491,791,485.63/542,705.40
  6. Step 6: Final answer
    x = 415,495.76

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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.