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Finding the Fourth Proportional to 311,962.72, 430,508.55 and 168,722.77

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Solution

The fourth proportional to 311,962.72, 430,508.55 and 168,722.77 is: 232,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,962.72 : 430,508.55 = 168,722.77 : x
  2. Step 2: Convert to fraction form
    311,962.72/430,508.55 = 168,722.77/x
  3. Step 3: Cross multiply
    311,962.72x = 430,508.55 × 168,722.77
  4. Step 4: Simplify right side
    311,962.72x = 72,636,595,064.68
  5. Step 5: Solve for x
    x = 72,636,595,064.68/311,962.72
  6. Step 6: Final answer
    x = 232,837.42

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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.