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Finding the Fourth Proportional to 542,767.71, 749,109.14 and 301,128.13

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Solution

The fourth proportional to 542,767.71, 749,109.14 and 301,128.13 is: 415,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,767.71 : 749,109.14 = 301,128.13 : x
  2. Step 2: Convert to fraction form
    542,767.71/749,109.14 = 301,128.13/x
  3. Step 3: Cross multiply
    542,767.71x = 749,109.14 × 301,128.13
  4. Step 4: Simplify right side
    542,767.71x = 225,577,834,494.11
  5. Step 5: Solve for x
    x = 225,577,834,494.11/542,767.71
  6. Step 6: Final answer
    x = 415,606.59

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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.