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Finding the Fourth Proportional to 284,670.78, 392,884.74 and 163,809.60

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Solution

The fourth proportional to 284,670.78, 392,884.74 and 163,809.60 is: 226,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,670.78 : 392,884.74 = 163,809.60 : x
  2. Step 2: Convert to fraction form
    284,670.78/392,884.74 = 163,809.60/x
  3. Step 3: Cross multiply
    284,670.78x = 392,884.74 × 163,809.60
  4. Step 4: Simplify right side
    284,670.78x = 64,358,292,105.50
  5. Step 5: Solve for x
    x = 64,358,292,105.50/284,670.78
  6. Step 6: Final answer
    x = 226,079.73

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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.