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Finding the Fourth Proportional to 306,878.40, 459,747.36 and 166,754.88

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Solution

The fourth proportional to 306,878.40, 459,747.36 and 166,754.88 is: 249,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,878.40 : 459,747.36 = 166,754.88 : x
  2. Step 2: Convert to fraction form
    306,878.40/459,747.36 = 166,754.88/x
  3. Step 3: Cross multiply
    306,878.40x = 459,747.36 × 166,754.88
  4. Step 4: Simplify right side
    306,878.40x = 76,665,115,847.12
  5. Step 5: Solve for x
    x = 76,665,115,847.12/306,878.40
  6. Step 6: Final answer
    x = 249,822.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.