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Finding the Fourth Proportional to 287,937.80, 431,906.70 and 147,969.80

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Solution

The fourth proportional to 287,937.80, 431,906.70 and 147,969.80 is: 221,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,937.80 : 431,906.70 = 147,969.80 : x
  2. Step 2: Convert to fraction form
    287,937.80/431,906.70 = 147,969.80/x
  3. Step 3: Cross multiply
    287,937.80x = 431,906.70 × 147,969.80
  4. Step 4: Simplify right side
    287,937.80x = 63,909,148,017.66
  5. Step 5: Solve for x
    x = 63,909,148,017.66/287,937.80
  6. Step 6: Final answer
    x = 221,954.70

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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.