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Finding the Fourth Proportional to 311,841.16, 430,355.40 and 175,872.23

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Solution

The fourth proportional to 311,841.16, 430,355.40 and 175,872.23 is: 242,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,841.16 : 430,355.40 = 175,872.23 : x
  2. Step 2: Convert to fraction form
    311,841.16/430,355.40 = 175,872.23/x
  3. Step 3: Cross multiply
    311,841.16x = 430,355.40 × 175,872.23
  4. Step 4: Simplify right side
    311,841.16x = 75,687,562,693.08
  5. Step 5: Solve for x
    x = 75,687,562,693.08/311,841.16
  6. Step 6: Final answer
    x = 242,711.91

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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.