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Finding the Fourth Proportional to 284,778.56, 392,984.78 and 163,903.08

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Solution

The fourth proportional to 284,778.56, 392,984.78 and 163,903.08 is: 226,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778.56 : 392,984.78 = 163,903.08 : x
  2. Step 2: Convert to fraction form
    284,778.56/392,984.78 = 163,903.08/x
  3. Step 3: Cross multiply
    284,778.56x = 392,984.78 × 163,903.08
  4. Step 4: Simplify right side
    284,778.56x = 64,411,415,835.12
  5. Step 5: Solve for x
    x = 64,411,415,835.12/284,778.56
  6. Step 6: Final answer
    x = 226,180.71

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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.