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Finding the Fourth Proportional to 282,723.90, 390,146.67 and 155,391.90

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Solution

The fourth proportional to 282,723.90, 390,146.67 and 155,391.90 is: 214,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,723.90 : 390,146.67 = 155,391.90 : x
  2. Step 2: Convert to fraction form
    282,723.90/390,146.67 = 155,391.90/x
  3. Step 3: Cross multiply
    282,723.90x = 390,146.67 × 155,391.90
  4. Step 4: Simplify right side
    282,723.90x = 60,625,632,329.97
  5. Step 5: Solve for x
    x = 60,625,632,329.97/282,723.90
  6. Step 6: Final answer
    x = 214,434.06

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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.