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Finding the Fourth Proportional to 310,588.80, 428,437.49 and 186,377.65

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Solution

The fourth proportional to 310,588.80, 428,437.49 and 186,377.65 is: 257,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,588.80 : 428,437.49 = 186,377.65 : x
  2. Step 2: Convert to fraction form
    310,588.80/428,437.49 = 186,377.65/x
  3. Step 3: Cross multiply
    310,588.80x = 428,437.49 × 186,377.65
  4. Step 4: Simplify right side
    310,588.80x = 79,851,172,558.10
  5. Step 5: Solve for x
    x = 79,851,172,558.10/310,588.80
  6. Step 6: Final answer
    x = 257,096.11

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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.