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Finding the Fourth Proportional to 287,570.20, 431,355.30 and 77,229.40

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Solution

The fourth proportional to 287,570.20, 431,355.30 and 77,229.40 is: 115,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,570.20 : 431,355.30 = 77,229.40 : x
  2. Step 2: Convert to fraction form
    287,570.20/431,355.30 = 77,229.40/x
  3. Step 3: Cross multiply
    287,570.20x = 431,355.30 × 77,229.40
  4. Step 4: Simplify right side
    287,570.20x = 33,313,311,005.82
  5. Step 5: Solve for x
    x = 33,313,311,005.82/287,570.20
  6. Step 6: Final answer
    x = 115,844.10

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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.