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Finding the Fourth Proportional to 287,553.20, 431,329.80 and 77,212.40

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Solution

The fourth proportional to 287,553.20, 431,329.80 and 77,212.40 is: 115,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,553.20 : 431,329.80 = 77,212.40 : x
  2. Step 2: Convert to fraction form
    287,553.20/431,329.80 = 77,212.40/x
  3. Step 3: Cross multiply
    287,553.20x = 431,329.80 × 77,212.40
  4. Step 4: Simplify right side
    287,553.20x = 33,304,009,049.52
  5. Step 5: Solve for x
    x = 33,304,009,049.52/287,553.20
  6. Step 6: Final answer
    x = 115,818.60

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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.