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Finding the Fourth Proportional to 542,742.32, 748,872.54 and 313,295.95

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Solution

The fourth proportional to 542,742.32, 748,872.54 and 313,295.95 is: 432,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,742.32 : 748,872.54 = 313,295.95 : x
  2. Step 2: Convert to fraction form
    542,742.32/748,872.54 = 313,295.95/x
  3. Step 3: Cross multiply
    542,742.32x = 748,872.54 × 313,295.95
  4. Step 4: Simplify right side
    542,742.32x = 234,618,734,784.30
  5. Step 5: Solve for x
    x = 234,618,734,784.30/542,742.32
  6. Step 6: Final answer
    x = 432,283.84

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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.