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Finding the Fourth Proportional to 375,510.76, 518,205.96 and 203,430.46

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Solution

The fourth proportional to 375,510.76, 518,205.96 and 203,430.46 is: 280,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,510.76 : 518,205.96 = 203,430.46 : x
  2. Step 2: Convert to fraction form
    375,510.76/518,205.96 = 203,430.46/x
  3. Step 3: Cross multiply
    375,510.76x = 518,205.96 × 203,430.46
  4. Step 4: Simplify right side
    375,510.76x = 105,418,876,817.54
  5. Step 5: Solve for x
    x = 105,418,876,817.54/375,510.76
  6. Step 6: Final answer
    x = 280,734.64

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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.