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Finding the Fourth Proportional to 280,612.77, 387,373.05 and 178,777.86

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Solution

The fourth proportional to 280,612.77, 387,373.05 and 178,777.86 is: 246,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,612.77 : 387,373.05 = 178,777.86 : x
  2. Step 2: Convert to fraction form
    280,612.77/387,373.05 = 178,777.86/x
  3. Step 3: Cross multiply
    280,612.77x = 387,373.05 × 178,777.86
  4. Step 4: Simplify right side
    280,612.77x = 69,253,724,900.67
  5. Step 5: Solve for x
    x = 69,253,724,900.67/280,612.77
  6. Step 6: Final answer
    x = 246,794.63

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1.5x scale

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.