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Finding the Fourth Proportional to 287,839.53, 431,759.30 and 77,472

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Solution

The fourth proportional to 287,839.53, 431,759.30 and 77,472 is: 116,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,839.53 : 431,759.30 = 77,472 : x
  2. Step 2: Convert to fraction form
    287,839.53/431,759.30 = 77,472/x
  3. Step 3: Cross multiply
    287,839.53x = 431,759.30 × 77,472
  4. Step 4: Simplify right side
    287,839.53x = 33,449,256,102.24
  5. Step 5: Solve for x
    x = 33,449,256,102.24/287,839.53
  6. Step 6: Final answer
    x = 116,208.00

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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.