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Finding the Fourth Proportional to 305,988.35, 458,654.37 and 147,999.47

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Solution

The fourth proportional to 305,988.35, 458,654.37 and 147,999.47 is: 221,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,988.35 : 458,654.37 = 147,999.47 : x
  2. Step 2: Convert to fraction form
    305,988.35/458,654.37 = 147,999.47/x
  3. Step 3: Cross multiply
    305,988.35x = 458,654.37 × 147,999.47
  4. Step 4: Simplify right side
    305,988.35x = 67,880,601,379.91
  5. Step 5: Solve for x
    x = 67,880,601,379.91/305,988.35
  6. Step 6: Final answer
    x = 221,840.48

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1.5x scale

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.