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Finding the Fourth Proportional to 311,887.60, 430,368.72 and 175,923.78

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Solution

The fourth proportional to 311,887.60, 430,368.72 and 175,923.78 is: 242,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,887.60 : 430,368.72 = 175,923.78 : x
  2. Step 2: Convert to fraction form
    311,887.60/430,368.72 = 175,923.78/x
  3. Step 3: Cross multiply
    311,887.60x = 430,368.72 × 175,923.78
  4. Step 4: Simplify right side
    311,887.60x = 75,712,092,016.16
  5. Step 5: Solve for x
    x = 75,712,092,016.16/311,887.60
  6. Step 6: Final answer
    x = 242,754.42

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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.