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Finding the Fourth Proportional to 287,734.40, 431,601.60 and 243,447.65

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Solution

The fourth proportional to 287,734.40, 431,601.60 and 243,447.65 is: 365,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,734.40 : 431,601.60 = 243,447.65 : x
  2. Step 2: Convert to fraction form
    287,734.40/431,601.60 = 243,447.65/x
  3. Step 3: Cross multiply
    287,734.40x = 431,601.60 × 243,447.65
  4. Step 4: Simplify right side
    287,734.40x = 105,072,395,256.24
  5. Step 5: Solve for x
    x = 105,072,395,256.24/287,734.40
  6. Step 6: Final answer
    x = 365,171.48

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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.