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Finding the Fourth Proportional to 282,626.64, 390,042.96 and 161,807.04

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Solution

The fourth proportional to 282,626.64, 390,042.96 and 161,807.04 is: 223,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,626.64 : 390,042.96 = 161,807.04 : x
  2. Step 2: Convert to fraction form
    282,626.64/390,042.96 = 161,807.04/x
  3. Step 3: Cross multiply
    282,626.64x = 390,042.96 × 161,807.04
  4. Step 4: Simplify right side
    282,626.64x = 63,111,696,830.44
  5. Step 5: Solve for x
    x = 63,111,696,830.44/282,626.64
  6. Step 6: Final answer
    x = 223,304.13

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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.