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Finding the Fourth Proportional to 287,750.20, 431,625.30 and 147,782.20

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Solution

The fourth proportional to 287,750.20, 431,625.30 and 147,782.20 is: 221,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,750.20 : 431,625.30 = 147,782.20 : x
  2. Step 2: Convert to fraction form
    287,750.20/431,625.30 = 147,782.20/x
  3. Step 3: Cross multiply
    287,750.20x = 431,625.30 × 147,782.20
  4. Step 4: Simplify right side
    287,750.20x = 63,786,536,409.66
  5. Step 5: Solve for x
    x = 63,786,536,409.66/287,750.20
  6. Step 6: Final answer
    x = 221,673.30

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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.