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Finding the Fourth Proportional to 310,866.47, 428,995.74 and 176,730.47

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Solution

The fourth proportional to 310,866.47, 428,995.74 and 176,730.47 is: 243,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,866.47 : 428,995.74 = 176,730.47 : x
  2. Step 2: Convert to fraction form
    310,866.47/428,995.74 = 176,730.47/x
  3. Step 3: Cross multiply
    310,866.47x = 428,995.74 × 176,730.47
  4. Step 4: Simplify right side
    310,866.47x = 75,816,618,884.69
  5. Step 5: Solve for x
    x = 75,816,618,884.69/310,866.47
  6. Step 6: Final answer
    x = 243,888.06

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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.