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Finding the Fourth Proportional to 287,592.84, 431,257.06 and 97,976.04

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Solution

The fourth proportional to 287,592.84, 431,257.06 and 97,976.04 is: 146,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,592.84 : 431,257.06 = 97,976.04 : x
  2. Step 2: Convert to fraction form
    287,592.84/431,257.06 = 97,976.04/x
  3. Step 3: Cross multiply
    287,592.84x = 431,257.06 × 97,976.04
  4. Step 4: Simplify right side
    287,592.84x = 42,252,858,960.84
  5. Step 5: Solve for x
    x = 42,252,858,960.84/287,592.84
  6. Step 6: Final answer
    x = 146,919.02

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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.