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Finding the Fourth Proportional to 312,602, 431,399.58 and 176,641.70

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Solution

The fourth proportional to 312,602, 431,399.58 and 176,641.70 is: 243,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,602 : 431,399.58 = 176,641.70 : x
  2. Step 2: Convert to fraction form
    312,602/431,399.58 = 176,641.70/x
  3. Step 3: Cross multiply
    312,602x = 431,399.58 × 176,641.70
  4. Step 4: Simplify right side
    312,602x = 76,203,155,190.49
  5. Step 5: Solve for x
    x = 76,203,155,190.49/312,602
  6. Step 6: Final answer
    x = 243,770.53

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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.