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Finding the Fourth Proportional to 325,705.28, 488,788.78 and 148,235.10

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Solution

The fourth proportional to 325,705.28, 488,788.78 and 148,235.10 is: 222,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,705.28 : 488,788.78 = 148,235.10 : x
  2. Step 2: Convert to fraction form
    325,705.28/488,788.78 = 148,235.10/x
  3. Step 3: Cross multiply
    325,705.28x = 488,788.78 × 148,235.10
  4. Step 4: Simplify right side
    325,705.28x = 72,455,653,682.18
  5. Step 5: Solve for x
    x = 72,455,653,682.18/325,705.28
  6. Step 6: Final answer
    x = 222,457.72

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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.