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Finding the Fourth Proportional to 399,829.34, 599,980.26 and 147,287

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Solution

The fourth proportional to 399,829.34, 599,980.26 and 147,287 is: 221,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,829.34 : 599,980.26 = 147,287 : x
  2. Step 2: Convert to fraction form
    399,829.34/599,980.26 = 147,287/x
  3. Step 3: Cross multiply
    399,829.34x = 599,980.26 × 147,287
  4. Step 4: Simplify right side
    399,829.34x = 88,369,292,554.62
  5. Step 5: Solve for x
    x = 88,369,292,554.62/399,829.34
  6. Step 6: Final answer
    x = 221,017.53

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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.