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Finding the Fourth Proportional to 665,225.64, 998,548.90 and 286,334.04

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Solution

The fourth proportional to 665,225.64, 998,548.90 and 286,334.04 is: 429,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,225.64 : 998,548.90 = 286,334.04 : x
  2. Step 2: Convert to fraction form
    665,225.64/998,548.90 = 286,334.04/x
  3. Step 3: Cross multiply
    665,225.64x = 998,548.90 × 286,334.04
  4. Step 4: Simplify right side
    665,225.64x = 285,918,540,674.56
  5. Step 5: Solve for x
    x = 285,918,540,674.56/665,225.64
  6. Step 6: Final answer
    x = 429,806.86

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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.