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Finding the Fourth Proportional to 299,147.47, 448,980.05 and 157,092.70

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Solution

The fourth proportional to 299,147.47, 448,980.05 and 157,092.70 is: 235,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.47 : 448,980.05 = 157,092.70 : x
  2. Step 2: Convert to fraction form
    299,147.47/448,980.05 = 157,092.70/x
  3. Step 3: Cross multiply
    299,147.47x = 448,980.05 × 157,092.70
  4. Step 4: Simplify right side
    299,147.47x = 70,531,488,300.64
  5. Step 5: Solve for x
    x = 70,531,488,300.64/299,147.47
  6. Step 6: Final answer
    x = 235,774.98

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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.