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Finding the Fourth Proportional to 305,412.70, 458,215.05 and 147,646.30

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Solution

The fourth proportional to 305,412.70, 458,215.05 and 147,646.30 is: 221,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,412.70 : 458,215.05 = 147,646.30 : x
  2. Step 2: Convert to fraction form
    305,412.70/458,215.05 = 147,646.30/x
  3. Step 3: Cross multiply
    305,412.70x = 458,215.05 × 147,646.30
  4. Step 4: Simplify right side
    305,412.70x = 67,653,756,736.82
  5. Step 5: Solve for x
    x = 67,653,756,736.82/305,412.70
  6. Step 6: Final answer
    x = 221,515.86

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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.