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Finding the Fourth Proportional to 284,683.59, 392,846.49 and 157,351.59

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Solution

The fourth proportional to 284,683.59, 392,846.49 and 157,351.59 is: 217,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,683.59 : 392,846.49 = 157,351.59 : x
  2. Step 2: Convert to fraction form
    284,683.59/392,846.49 = 157,351.59/x
  3. Step 3: Cross multiply
    284,683.59x = 392,846.49 × 157,351.59
  4. Step 4: Simplify right side
    284,683.59x = 61,815,019,827.42
  5. Step 5: Solve for x
    x = 61,815,019,827.42/284,683.59
  6. Step 6: Final answer
    x = 217,135.87

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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.