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Finding the Fourth Proportional to 311,859.77, 430,365.87 and 175,893.30

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Solution

The fourth proportional to 311,859.77, 430,365.87 and 175,893.30 is: 242,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,859.77 : 430,365.87 = 175,893.30 : x
  2. Step 2: Convert to fraction form
    311,859.77/430,365.87 = 175,893.30/x
  3. Step 3: Cross multiply
    311,859.77x = 430,365.87 × 175,893.30
  4. Step 4: Simplify right side
    311,859.77x = 75,698,473,081.67
  5. Step 5: Solve for x
    x = 75,698,473,081.67/311,859.77
  6. Step 6: Final answer
    x = 242,732.41

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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.