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Finding the Fourth Proportional to 312,755.78, 431,598.29 and 176,784.95

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Solution

The fourth proportional to 312,755.78, 431,598.29 and 176,784.95 is: 243,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,755.78 : 431,598.29 = 176,784.95 : x
  2. Step 2: Convert to fraction form
    312,755.78/431,598.29 = 176,784.95/x
  3. Step 3: Cross multiply
    312,755.78x = 431,598.29 × 176,784.95
  4. Step 4: Simplify right side
    312,755.78x = 76,300,080,879.48
  5. Step 5: Solve for x
    x = 76,300,080,879.48/312,755.78
  6. Step 6: Final answer
    x = 243,960.58

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1.5x scale

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.