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Finding the Fourth Proportional to 278,823.64, 417,674.12 and 128,857.40

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Solution

The fourth proportional to 278,823.64, 417,674.12 and 128,857.40 is: 193,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,823.64 : 417,674.12 = 128,857.40 : x
  2. Step 2: Convert to fraction form
    278,823.64/417,674.12 = 128,857.40/x
  3. Step 3: Cross multiply
    278,823.64x = 417,674.12 × 128,857.40
  4. Step 4: Simplify right side
    278,823.64x = 53,820,401,150.49
  5. Step 5: Solve for x
    x = 53,820,401,150.49/278,823.64
  6. Step 6: Final answer
    x = 193,026.68

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1.5x scale

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.