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Finding the Fourth Proportional to 287,769.51, 431,693.64 and 98,178.96

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Solution

The fourth proportional to 287,769.51, 431,693.64 and 98,178.96 is: 147,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,769.51 : 431,693.64 = 98,178.96 : x
  2. Step 2: Convert to fraction form
    287,769.51/431,693.64 = 98,178.96/x
  3. Step 3: Cross multiply
    287,769.51x = 431,693.64 × 98,178.96
  4. Step 4: Simplify right side
    287,769.51x = 42,383,232,613.81
  5. Step 5: Solve for x
    x = 42,383,232,613.81/287,769.51
  6. Step 6: Final answer
    x = 147,281.87

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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.