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Finding the Fourth Proportional to 299,689.60, 449,534.40 and 285,865.60

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Solution

The fourth proportional to 299,689.60, 449,534.40 and 285,865.60 is: 428,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,689.60 : 449,534.40 = 285,865.60 : x
  2. Step 2: Convert to fraction form
    299,689.60/449,534.40 = 285,865.60/x
  3. Step 3: Cross multiply
    299,689.60x = 449,534.40 × 285,865.60
  4. Step 4: Simplify right side
    299,689.60x = 128,506,420,976.64
  5. Step 5: Solve for x
    x = 128,506,420,976.64/299,689.60
  6. Step 6: Final answer
    x = 428,798.40

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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.