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Finding the Fourth Proportional to 305,984.47, 458,648.56 and 147,995.59

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Solution

The fourth proportional to 305,984.47, 458,648.56 and 147,995.59 is: 221,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,984.47 : 458,648.56 = 147,995.59 : x
  2. Step 2: Convert to fraction form
    305,984.47/458,648.56 = 147,995.59/x
  3. Step 3: Cross multiply
    305,984.47x = 458,648.56 × 147,995.59
  4. Step 4: Simplify right side
    305,984.47x = 67,877,964,239.85
  5. Step 5: Solve for x
    x = 67,877,964,239.85/305,984.47
  6. Step 6: Final answer
    x = 221,834.67

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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.