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Finding the Fourth Proportional to 542,696.78, 748,967.58 and 301,057.22

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Solution

The fourth proportional to 542,696.78, 748,967.58 and 301,057.22 is: 415,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,696.78 : 748,967.58 = 301,057.22 : x
  2. Step 2: Convert to fraction form
    542,696.78/748,967.58 = 301,057.22/x
  3. Step 3: Cross multiply
    542,696.78x = 748,967.58 × 301,057.22
  4. Step 4: Simplify right side
    542,696.78x = 225,482,097,504.93
  5. Step 5: Solve for x
    x = 225,482,097,504.93/542,696.78
  6. Step 6: Final answer
    x = 415,484.49

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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.