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Finding the Fourth Proportional to 310,830.80, 466,476.60 and 205,614.80

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Solution

The fourth proportional to 310,830.80, 466,476.60 and 205,614.80 is: 308,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,830.80 : 466,476.60 = 205,614.80 : x
  2. Step 2: Convert to fraction form
    310,830.80/466,476.60 = 205,614.80/x
  3. Step 3: Cross multiply
    310,830.80x = 466,476.60 × 205,614.80
  4. Step 4: Simplify right side
    310,830.80x = 95,914,492,813.68
  5. Step 5: Solve for x
    x = 95,914,492,813.68/310,830.80
  6. Step 6: Final answer
    x = 308,574.61

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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.