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Finding the Fourth Proportional to 287,663.84, 431,643.60 and 220,626.53

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Solution

The fourth proportional to 287,663.84, 431,643.60 and 220,626.53 is: 331,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,663.84 : 431,643.60 = 220,626.53 : x
  2. Step 2: Convert to fraction form
    287,663.84/431,643.60 = 220,626.53/x
  3. Step 3: Cross multiply
    287,663.84x = 431,643.60 × 220,626.53
  4. Step 4: Simplify right side
    287,663.84x = 95,232,027,506.49
  5. Step 5: Solve for x
    x = 95,232,027,506.49/287,663.84
  6. Step 6: Final answer
    x = 331,053.18

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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.