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Finding the Fourth Proportional to 880,078.86, 1,320,155.82 and 311,464.80

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Solution

The fourth proportional to 880,078.86, 1,320,155.82 and 311,464.80 is: 467,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,078.86 : 1,320,155.82 = 311,464.80 : x
  2. Step 2: Convert to fraction form
    880,078.86/1,320,155.82 = 311,464.80/x
  3. Step 3: Cross multiply
    880,078.86x = 1,320,155.82 × 311,464.80
  4. Step 4: Simplify right side
    880,078.86x = 411,182,068,445.14
  5. Step 5: Solve for x
    x = 411,182,068,445.14/880,078.86
  6. Step 6: Final answer
    x = 467,210.48

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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.