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Finding the Fourth Proportional to 283,158.32, 390,595.96 and 176,990

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Solution

The fourth proportional to 283,158.32, 390,595.96 and 176,990 is: 244,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,158.32 : 390,595.96 = 176,990 : x
  2. Step 2: Convert to fraction form
    283,158.32/390,595.96 = 176,990/x
  3. Step 3: Cross multiply
    283,158.32x = 390,595.96 × 176,990
  4. Step 4: Simplify right side
    283,158.32x = 69,131,578,960.40
  5. Step 5: Solve for x
    x = 69,131,578,960.40/283,158.32
  6. Step 6: Final answer
    x = 244,144.61

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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.