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Finding the Fourth Proportional to 283,028.32, 390,416.88 and 176,860

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Solution

The fourth proportional to 283,028.32, 390,416.88 and 176,860 is: 243,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,028.32 : 390,416.88 = 176,860 : x
  2. Step 2: Convert to fraction form
    283,028.32/390,416.88 = 176,860/x
  3. Step 3: Cross multiply
    283,028.32x = 390,416.88 × 176,860
  4. Step 4: Simplify right side
    283,028.32x = 69,049,129,396.80
  5. Step 5: Solve for x
    x = 69,049,129,396.80/283,028.32
  6. Step 6: Final answer
    x = 243,965.44

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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.