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Finding the Fourth Proportional to 305,909.84, 458,873.81 and 146,002.62

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Solution

The fourth proportional to 305,909.84, 458,873.81 and 146,002.62 is: 219,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.84 : 458,873.81 = 146,002.62 : x
  2. Step 2: Convert to fraction form
    305,909.84/458,873.81 = 146,002.62/x
  3. Step 3: Cross multiply
    305,909.84x = 458,873.81 × 146,002.62
  4. Step 4: Simplify right side
    305,909.84x = 66,996,780,047.66
  5. Step 5: Solve for x
    x = 66,996,780,047.66/305,909.84
  6. Step 6: Final answer
    x = 219,008.25

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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.