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Finding the Fourth Proportional to 542,620.16, 748,659.84 and 313,159.04

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Solution

The fourth proportional to 542,620.16, 748,659.84 and 313,159.04 is: 432,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,620.16 : 748,659.84 = 313,159.04 : x
  2. Step 2: Convert to fraction form
    542,620.16/748,659.84 = 313,159.04/x
  3. Step 3: Cross multiply
    542,620.16x = 748,659.84 × 313,159.04
  4. Step 4: Simplify right side
    542,620.16x = 234,449,596,780.95
  5. Step 5: Solve for x
    x = 234,449,596,780.95/542,620.16
  6. Step 6: Final answer
    x = 432,069.45

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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.