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Finding the Fourth Proportional to 284,221.98, 392,212.55 and 161,702.82

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Solution

The fourth proportional to 284,221.98, 392,212.55 and 161,702.82 is: 223,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,221.98 : 392,212.55 = 161,702.82 : x
  2. Step 2: Convert to fraction form
    284,221.98/392,212.55 = 161,702.82/x
  3. Step 3: Cross multiply
    284,221.98x = 392,212.55 × 161,702.82
  4. Step 4: Simplify right side
    284,221.98x = 63,421,875,778.65
  5. Step 5: Solve for x
    x = 63,421,875,778.65/284,221.98
  6. Step 6: Final answer
    x = 223,142.05

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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.