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Finding the Fourth Proportional to 287,921.40, 431,687.70 and 147,564.60

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Solution

The fourth proportional to 287,921.40, 431,687.70 and 147,564.60 is: 221,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,921.40 : 431,687.70 = 147,564.60 : x
  2. Step 2: Convert to fraction form
    287,921.40/431,687.70 = 147,564.60/x
  3. Step 3: Cross multiply
    287,921.40x = 431,687.70 × 147,564.60
  4. Step 4: Simplify right side
    287,921.40x = 63,701,822,775.42
  5. Step 5: Solve for x
    x = 63,701,822,775.42/287,921.40
  6. Step 6: Final answer
    x = 221,247.27

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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.