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Finding the Fourth Proportional to 311,950.52, 430,544.70 and 176,023

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Solution

The fourth proportional to 311,950.52, 430,544.70 and 176,023 is: 242,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,950.52 : 430,544.70 = 176,023 : x
  2. Step 2: Convert to fraction form
    311,950.52/430,544.70 = 176,023/x
  3. Step 3: Cross multiply
    311,950.52x = 430,544.70 × 176,023
  4. Step 4: Simplify right side
    311,950.52x = 75,785,769,728.10
  5. Step 5: Solve for x
    x = 75,785,769,728.10/311,950.52
  6. Step 6: Final answer
    x = 242,941.64

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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.