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Finding the Fourth Proportional to 284,407.65, 426,703.71 and 84,729.75

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Solution

The fourth proportional to 284,407.65, 426,703.71 and 84,729.75 is: 127,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,407.65 : 426,703.71 = 84,729.75 : x
  2. Step 2: Convert to fraction form
    284,407.65/426,703.71 = 84,729.75/x
  3. Step 3: Cross multiply
    284,407.65x = 426,703.71 × 84,729.75
  4. Step 4: Simplify right side
    284,407.65x = 36,154,498,672.37
  5. Step 5: Solve for x
    x = 36,154,498,672.37/284,407.65
  6. Step 6: Final answer
    x = 127,122.10

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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.