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Finding the Fourth Proportional to 287,842.40, 431,724.72 and 77,492.96

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Solution

The fourth proportional to 287,842.40, 431,724.72 and 77,492.96 is: 116,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,842.40 : 431,724.72 = 77,492.96 : x
  2. Step 2: Convert to fraction form
    287,842.40/431,724.72 = 77,492.96/x
  3. Step 3: Cross multiply
    287,842.40x = 431,724.72 × 77,492.96
  4. Step 4: Simplify right side
    287,842.40x = 33,455,626,457.97
  5. Step 5: Solve for x
    x = 33,455,626,457.97/287,842.40
  6. Step 6: Final answer
    x = 116,228.97

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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.