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Finding the Fourth Proportional to 310,281.54, 428,231.69 and 174,326.00

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Solution

The fourth proportional to 310,281.54, 428,231.69 and 174,326.00 is: 240,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,281.54 : 428,231.69 = 174,326.00 : x
  2. Step 2: Convert to fraction form
    310,281.54/428,231.69 = 174,326.00/x
  3. Step 3: Cross multiply
    310,281.54x = 428,231.69 × 174,326.00
  4. Step 4: Simplify right side
    310,281.54x = 74,651,915,945.98
  5. Step 5: Solve for x
    x = 74,651,915,945.98/310,281.54
  6. Step 6: Final answer
    x = 240,594.13

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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.