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Finding the Fourth Proportional to 542,090, 748,064.04 and 312,656.78

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Solution

The fourth proportional to 542,090, 748,064.04 and 312,656.78 is: 431,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,090 : 748,064.04 = 312,656.78 : x
  2. Step 2: Convert to fraction form
    542,090/748,064.04 = 312,656.78/x
  3. Step 3: Cross multiply
    542,090x = 748,064.04 × 312,656.78
  4. Step 4: Simplify right side
    542,090x = 233,887,293,980.19
  5. Step 5: Solve for x
    x = 233,887,293,980.19/542,090
  6. Step 6: Final answer
    x = 431,454.73

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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.