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Finding the Fourth Proportional to 282,626.40, 390,046.14 and 161,805.60

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Solution

The fourth proportional to 282,626.40, 390,046.14 and 161,805.60 is: 223,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,626.40 : 390,046.14 = 161,805.60 : x
  2. Step 2: Convert to fraction form
    282,626.40/390,046.14 = 161,805.60/x
  3. Step 3: Cross multiply
    282,626.40x = 390,046.14 × 161,805.60
  4. Step 4: Simplify right side
    282,626.40x = 63,111,649,710.38
  5. Step 5: Solve for x
    x = 63,111,649,710.38/282,626.40
  6. Step 6: Final answer
    x = 223,304.16

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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.