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Finding the Fourth Proportional to 287,958.64, 432,069.24 and 147,815.76

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Solution

The fourth proportional to 287,958.64, 432,069.24 and 147,815.76 is: 221,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,958.64 : 432,069.24 = 147,815.76 : x
  2. Step 2: Convert to fraction form
    287,958.64/432,069.24 = 147,815.76/x
  3. Step 3: Cross multiply
    287,958.64x = 432,069.24 × 147,815.76
  4. Step 4: Simplify right side
    287,958.64x = 63,866,643,083.22
  5. Step 5: Solve for x
    x = 63,866,643,083.22/287,958.64
  6. Step 6: Final answer
    x = 221,791.03

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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.