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Finding the Fourth Proportional to 287,792.91, 431,443.14 and 110,427.21

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Solution

The fourth proportional to 287,792.91, 431,443.14 and 110,427.21 is: 165,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,792.91 : 431,443.14 = 110,427.21 : x
  2. Step 2: Convert to fraction form
    287,792.91/431,443.14 = 110,427.21/x
  3. Step 3: Cross multiply
    287,792.91x = 431,443.14 × 110,427.21
  4. Step 4: Simplify right side
    287,792.91x = 47,643,062,223.84
  5. Step 5: Solve for x
    x = 47,643,062,223.84/287,792.91
  6. Step 6: Final answer
    x = 165,546.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.