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Finding the Fourth Proportional to 287,877.08, 431,821.02 and 98,380.82

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Solution

The fourth proportional to 287,877.08, 431,821.02 and 98,380.82 is: 147,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,877.08 : 431,821.02 = 98,380.82 : x
  2. Step 2: Convert to fraction form
    287,877.08/431,821.02 = 98,380.82/x
  3. Step 3: Cross multiply
    287,877.08x = 431,821.02 × 98,380.82
  4. Step 4: Simplify right side
    287,877.08x = 42,482,906,040.84
  5. Step 5: Solve for x
    x = 42,482,906,040.84/287,877.08
  6. Step 6: Final answer
    x = 147,573.08

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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.