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Finding the Fourth Proportional to 287,717.20, 431,575.80 and 77,376.40

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Solution

The fourth proportional to 287,717.20, 431,575.80 and 77,376.40 is: 116,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,717.20 : 431,575.80 = 77,376.40 : x
  2. Step 2: Convert to fraction form
    287,717.20/431,575.80 = 77,376.40/x
  3. Step 3: Cross multiply
    287,717.20x = 431,575.80 × 77,376.40
  4. Step 4: Simplify right side
    287,717.20x = 33,393,781,731.12
  5. Step 5: Solve for x
    x = 33,393,781,731.12/287,717.20
  6. Step 6: Final answer
    x = 116,064.60

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1.5x scale

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.