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Finding the Fourth Proportional to 310,231.85, 428,053.52 and 181,111.68

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Solution

The fourth proportional to 310,231.85, 428,053.52 and 181,111.68 is: 249,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,231.85 : 428,053.52 = 181,111.68 : x
  2. Step 2: Convert to fraction form
    310,231.85/428,053.52 = 181,111.68/x
  3. Step 3: Cross multiply
    310,231.85x = 428,053.52 × 181,111.68
  4. Step 4: Simplify right side
    310,231.85x = 77,525,492,589.89
  5. Step 5: Solve for x
    x = 77,525,492,589.89/310,231.85
  6. Step 6: Final answer
    x = 249,895.34

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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.