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Finding the Fourth Proportional to 283,140.78, 390,734.33 and 155,816.38

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Solution

The fourth proportional to 283,140.78, 390,734.33 and 155,816.38 is: 215,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,140.78 : 390,734.33 = 155,816.38 : x
  2. Step 2: Convert to fraction form
    283,140.78/390,734.33 = 155,816.38/x
  3. Step 3: Cross multiply
    283,140.78x = 390,734.33 × 155,816.38
  4. Step 4: Simplify right side
    283,140.78x = 60,882,806,888.65
  5. Step 5: Solve for x
    x = 60,882,806,888.65/283,140.78
  6. Step 6: Final answer
    x = 215,026.63

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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.