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Finding the Fourth Proportional to 310,791.24, 428,929.86 and 174,830.91

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Solution

The fourth proportional to 310,791.24, 428,929.86 and 174,830.91 is: 241,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,791.24 : 428,929.86 = 174,830.91 : x
  2. Step 2: Convert to fraction form
    310,791.24/428,929.86 = 174,830.91/x
  3. Step 3: Cross multiply
    310,791.24x = 428,929.86 × 174,830.91
  4. Step 4: Simplify right side
    310,791.24x = 74,990,197,749.97
  5. Step 5: Solve for x
    x = 74,990,197,749.97/310,791.24
  6. Step 6: Final answer
    x = 241,288.00

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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.