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Finding the Fourth Proportional to 305,984.60, 458,648.75 and 147,995.72

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Solution

The fourth proportional to 305,984.60, 458,648.75 and 147,995.72 is: 221,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,984.60 : 458,648.75 = 147,995.72 : x
  2. Step 2: Convert to fraction form
    305,984.60/458,648.75 = 147,995.72/x
  3. Step 3: Cross multiply
    305,984.60x = 458,648.75 × 147,995.72
  4. Step 4: Simplify right side
    305,984.60x = 67,878,050,060.10
  5. Step 5: Solve for x
    x = 67,878,050,060.10/305,984.60
  6. Step 6: Final answer
    x = 221,834.86

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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.