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Finding the Fourth Proportional to 287,836.60, 431,390.40 and 110,106.40

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Solution

The fourth proportional to 287,836.60, 431,390.40 and 110,106.40 is: 165,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,836.60 : 431,390.40 = 110,106.40 : x
  2. Step 2: Convert to fraction form
    287,836.60/431,390.40 = 110,106.40/x
  3. Step 3: Cross multiply
    287,836.60x = 431,390.40 × 110,106.40
  4. Step 4: Simplify right side
    287,836.60x = 47,498,843,938.56
  5. Step 5: Solve for x
    x = 47,498,843,938.56/287,836.60
  6. Step 6: Final answer
    x = 165,020.17

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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.