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Finding the Fourth Proportional to 284,164.86, 392,145.60 and 156,840.42

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Solution

The fourth proportional to 284,164.86, 392,145.60 and 156,840.42 is: 216,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,164.86 : 392,145.60 = 156,840.42 : x
  2. Step 2: Convert to fraction form
    284,164.86/392,145.60 = 156,840.42/x
  3. Step 3: Cross multiply
    284,164.86x = 392,145.60 × 156,840.42
  4. Step 4: Simplify right side
    284,164.86x = 61,504,280,605.15
  5. Step 5: Solve for x
    x = 61,504,280,605.15/284,164.86
  6. Step 6: Final answer
    x = 216,438.73

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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.