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Finding the Fourth Proportional to 408,923.10, 613,384.65 and 282,951.90

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Solution

The fourth proportional to 408,923.10, 613,384.65 and 282,951.90 is: 424,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,923.10 : 613,384.65 = 282,951.90 : x
  2. Step 2: Convert to fraction form
    408,923.10/613,384.65 = 282,951.90/x
  3. Step 3: Cross multiply
    408,923.10x = 613,384.65 × 282,951.90
  4. Step 4: Simplify right side
    408,923.10x = 173,558,352,148.34
  5. Step 5: Solve for x
    x = 173,558,352,148.34/408,923.10
  6. Step 6: Final answer
    x = 424,427.85

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.