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Finding the Fourth Proportional to 542,720.26, 748,999.94 and 301,080.68

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Solution

The fourth proportional to 542,720.26, 748,999.94 and 301,080.68 is: 415,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,720.26 : 748,999.94 = 301,080.68 : x
  2. Step 2: Convert to fraction form
    542,720.26/748,999.94 = 301,080.68/x
  3. Step 3: Cross multiply
    542,720.26x = 748,999.94 × 301,080.68
  4. Step 4: Simplify right side
    542,720.26x = 225,509,411,255.16
  5. Step 5: Solve for x
    x = 225,509,411,255.16/542,720.26
  6. Step 6: Final answer
    x = 415,516.85

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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.