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Finding the Fourth Proportional to 282,690, 390,087.90 and 166,391.15

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Solution

The fourth proportional to 282,690, 390,087.90 and 166,391.15 is: 229,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,690 : 390,087.90 = 166,391.15 : x
  2. Step 2: Convert to fraction form
    282,690/390,087.90 = 166,391.15/x
  3. Step 3: Cross multiply
    282,690x = 390,087.90 × 166,391.15
  4. Step 4: Simplify right side
    282,690x = 64,907,172,331.65
  5. Step 5: Solve for x
    x = 64,907,172,331.65/282,690
  6. Step 6: Final answer
    x = 229,605.48

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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.