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Finding the Fourth Proportional to 282,648.96, 390,078.72 and 169,469.28

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Solution

The fourth proportional to 282,648.96, 390,078.72 and 169,469.28 is: 233,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,648.96 : 390,078.72 = 169,469.28 : x
  2. Step 2: Convert to fraction form
    282,648.96/390,078.72 = 169,469.28/x
  3. Step 3: Cross multiply
    282,648.96x = 390,078.72 × 169,469.28
  4. Step 4: Simplify right side
    282,648.96x = 66,106,359,821.72
  5. Step 5: Solve for x
    x = 66,106,359,821.72/282,648.96
  6. Step 6: Final answer
    x = 233,881.49

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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.