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Finding the Fourth Proportional to 310,866.84, 428,996.26 and 176,730.84

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Solution

The fourth proportional to 310,866.84, 428,996.26 and 176,730.84 is: 243,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,866.84 : 428,996.26 = 176,730.84 : x
  2. Step 2: Convert to fraction form
    310,866.84/428,996.26 = 176,730.84/x
  3. Step 3: Cross multiply
    310,866.84x = 428,996.26 × 176,730.84
  4. Step 4: Simplify right side
    310,866.84x = 75,816,869,386.66
  5. Step 5: Solve for x
    x = 75,816,869,386.66/310,866.84
  6. Step 6: Final answer
    x = 243,888.57

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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.