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Finding the Fourth Proportional to 284,678.50, 392,856.33 and 171,524.74

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Solution

The fourth proportional to 284,678.50, 392,856.33 and 171,524.74 is: 236,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,678.50 : 392,856.33 = 171,524.74 : x
  2. Step 2: Convert to fraction form
    284,678.50/392,856.33 = 171,524.74/x
  3. Step 3: Cross multiply
    284,678.50x = 392,856.33 × 171,524.74
  4. Step 4: Simplify right side
    284,678.50x = 67,384,579,860.60
  5. Step 5: Solve for x
    x = 67,384,579,860.60/284,678.50
  6. Step 6: Final answer
    x = 236,704.14

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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.