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Finding the Fourth Proportional to 457,872.40, 686,808.60 and 191,544.40

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Solution

The fourth proportional to 457,872.40, 686,808.60 and 191,544.40 is: 287,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,872.40 : 686,808.60 = 191,544.40 : x
  2. Step 2: Convert to fraction form
    457,872.40/686,808.60 = 191,544.40/x
  3. Step 3: Cross multiply
    457,872.40x = 686,808.60 × 191,544.40
  4. Step 4: Simplify right side
    457,872.40x = 131,554,341,201.84
  5. Step 5: Solve for x
    x = 131,554,341,201.84/457,872.40
  6. Step 6: Final answer
    x = 287,316.60

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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.