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Finding the Fourth Proportional to 287,686.40, 396,998.04 and 180,314.40

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Solution

The fourth proportional to 287,686.40, 396,998.04 and 180,314.40 is: 248,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,686.40 : 396,998.04 = 180,314.40 : x
  2. Step 2: Convert to fraction form
    287,686.40/396,998.04 = 180,314.40/x
  3. Step 3: Cross multiply
    287,686.40x = 396,998.04 × 180,314.40
  4. Step 4: Simplify right side
    287,686.40x = 71,584,463,383.78
  5. Step 5: Solve for x
    x = 71,584,463,383.78/287,686.40
  6. Step 6: Final answer
    x = 248,828.11

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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.