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Finding the Fourth Proportional to 312,352.50, 431,013.36 and 176,378.22

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Solution

The fourth proportional to 312,352.50, 431,013.36 and 176,378.22 is: 243,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,352.50 : 431,013.36 = 176,378.22 : x
  2. Step 2: Convert to fraction form
    312,352.50/431,013.36 = 176,378.22/x
  3. Step 3: Cross multiply
    312,352.50x = 431,013.36 × 176,378.22
  4. Step 4: Simplify right side
    312,352.50x = 76,021,369,233.02
  5. Step 5: Solve for x
    x = 76,021,369,233.02/312,352.50
  6. Step 6: Final answer
    x = 243,383.26

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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.