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Finding the Fourth Proportional to 495,775.74, 684,114.89 and 280,869.78

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Solution

The fourth proportional to 495,775.74, 684,114.89 and 280,869.78 is: 387,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,775.74 : 684,114.89 = 280,869.78 : x
  2. Step 2: Convert to fraction form
    495,775.74/684,114.89 = 280,869.78/x
  3. Step 3: Cross multiply
    495,775.74x = 684,114.89 × 280,869.78
  4. Step 4: Simplify right side
    495,775.74x = 192,147,197,244.68
  5. Step 5: Solve for x
    x = 192,147,197,244.68/495,775.74
  6. Step 6: Final answer
    x = 387,568.78

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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.