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Finding the Fourth Proportional to 469,671.12, 648,229.32 and 278,790

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Solution

The fourth proportional to 469,671.12, 648,229.32 and 278,790 is: 384,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,671.12 : 648,229.32 = 278,790 : x
  2. Step 2: Convert to fraction form
    469,671.12/648,229.32 = 278,790/x
  3. Step 3: Cross multiply
    469,671.12x = 648,229.32 × 278,790
  4. Step 4: Simplify right side
    469,671.12x = 180,719,852,122.80
  5. Step 5: Solve for x
    x = 180,719,852,122.80/469,671.12
  6. Step 6: Final answer
    x = 384,779.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.