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Finding the Fourth Proportional to 469,878.92, 648,137.98 and 278,757

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Solution

The fourth proportional to 469,878.92, 648,137.98 and 278,757 is: 384,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,878.92 : 648,137.98 = 278,757 : x
  2. Step 2: Convert to fraction form
    469,878.92/648,137.98 = 278,757/x
  3. Step 3: Cross multiply
    469,878.92x = 648,137.98 × 278,757
  4. Step 4: Simplify right side
    469,878.92x = 180,672,998,890.86
  5. Step 5: Solve for x
    x = 180,672,998,890.86/469,878.92
  6. Step 6: Final answer
    x = 384,509.69

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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.