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Finding the Fourth Proportional to 312,282.88, 430,925.27 and 176,349.90

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Solution

The fourth proportional to 312,282.88, 430,925.27 and 176,349.90 is: 243,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,282.88 : 430,925.27 = 176,349.90 : x
  2. Step 2: Convert to fraction form
    312,282.88/430,925.27 = 176,349.90/x
  3. Step 3: Cross multiply
    312,282.88x = 430,925.27 × 176,349.90
  4. Step 4: Simplify right side
    312,282.88x = 75,993,628,271.97
  5. Step 5: Solve for x
    x = 75,993,628,271.97/312,282.88
  6. Step 6: Final answer
    x = 243,348.69

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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.