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Finding the Fourth Proportional to 426,178.96, 588,348.06 and 311,328.64

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Solution

The fourth proportional to 426,178.96, 588,348.06 and 311,328.64 is: 429,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,178.96 : 588,348.06 = 311,328.64 : x
  2. Step 2: Convert to fraction form
    426,178.96/588,348.06 = 311,328.64/x
  3. Step 3: Cross multiply
    426,178.96x = 588,348.06 × 311,328.64
  4. Step 4: Simplify right side
    426,178.96x = 183,169,601,366.44
  5. Step 5: Solve for x
    x = 183,169,601,366.44/426,178.96
  6. Step 6: Final answer
    x = 429,795.04

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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.