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Finding the Fourth Proportional to 542,886.57, 749,148.21 and 301,168.53

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Solution

The fourth proportional to 542,886.57, 749,148.21 and 301,168.53 is: 415,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,886.57 : 749,148.21 = 301,168.53 : x
  2. Step 2: Convert to fraction form
    542,886.57/749,148.21 = 301,168.53/x
  3. Step 3: Cross multiply
    542,886.57x = 749,148.21 × 301,168.53
  4. Step 4: Simplify right side
    542,886.57x = 225,619,865,157.83
  5. Step 5: Solve for x
    x = 225,619,865,157.83/542,886.57
  6. Step 6: Final answer
    x = 415,593.01

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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.