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Finding the Fourth Proportional to 287,429.53, 431,211.04 and 97,891.54

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Solution

The fourth proportional to 287,429.53, 431,211.04 and 97,891.54 is: 146,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,429.53 : 431,211.04 = 97,891.54 : x
  2. Step 2: Convert to fraction form
    287,429.53/431,211.04 = 97,891.54/x
  3. Step 3: Cross multiply
    287,429.53x = 431,211.04 × 97,891.54
  4. Step 4: Simplify right side
    287,429.53x = 42,211,913,335.85
  5. Step 5: Solve for x
    x = 42,211,913,335.85/287,429.53
  6. Step 6: Final answer
    x = 146,860.04

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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.