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Finding the Fourth Proportional to 311,710.41, 430,151.76 and 175,743.17

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Solution

The fourth proportional to 311,710.41, 430,151.76 and 175,743.17 is: 242,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,710.41 : 430,151.76 = 175,743.17 : x
  2. Step 2: Convert to fraction form
    311,710.41/430,151.76 = 175,743.17/x
  3. Step 3: Cross multiply
    311,710.41x = 430,151.76 × 175,743.17
  4. Step 4: Simplify right side
    311,710.41x = 75,596,231,732.72
  5. Step 5: Solve for x
    x = 75,596,231,732.72/311,710.41
  6. Step 6: Final answer
    x = 242,520.72

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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.