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Finding the Fourth Proportional to 542,815.68, 749,119.94 and 313,415.33

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Solution

The fourth proportional to 542,815.68, 749,119.94 and 313,415.33 is: 432,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,815.68 : 749,119.94 = 313,415.33 : x
  2. Step 2: Convert to fraction form
    542,815.68/749,119.94 = 313,415.33/x
  3. Step 3: Cross multiply
    542,815.68x = 749,119.94 × 313,415.33
  4. Step 4: Simplify right side
    542,815.68x = 234,785,670,830.27
  5. Step 5: Solve for x
    x = 234,785,670,830.27/542,815.68
  6. Step 6: Final answer
    x = 432,532.96

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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.