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Finding the Fourth Proportional to 431,970.02, 647,952.27 and 147,523.32

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Solution

The fourth proportional to 431,970.02, 647,952.27 and 147,523.32 is: 221,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,970.02 : 647,952.27 = 147,523.32 : x
  2. Step 2: Convert to fraction form
    431,970.02/647,952.27 = 147,523.32/x
  3. Step 3: Cross multiply
    431,970.02x = 647,952.27 × 147,523.32
  4. Step 4: Simplify right side
    431,970.02x = 95,588,070,071.94
  5. Step 5: Solve for x
    x = 95,588,070,071.94/431,970.02
  6. Step 6: Final answer
    x = 221,284.04

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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.