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Finding the Fourth Proportional to 287,840.72, 431,758.04 and 98,298.92

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Solution

The fourth proportional to 287,840.72, 431,758.04 and 98,298.92 is: 147,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,840.72 : 431,758.04 = 98,298.92 : x
  2. Step 2: Convert to fraction form
    287,840.72/431,758.04 = 98,298.92/x
  3. Step 3: Cross multiply
    287,840.72x = 431,758.04 × 98,298.92
  4. Step 4: Simplify right side
    287,840.72x = 42,441,346,383.03
  5. Step 5: Solve for x
    x = 42,441,346,383.03/287,840.72
  6. Step 6: Final answer
    x = 147,447.34

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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.