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Finding the Fourth Proportional to 299,128.86, 448,416.27 and 156,944.70

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Solution

The fourth proportional to 299,128.86, 448,416.27 and 156,944.70 is: 235,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,128.86 : 448,416.27 = 156,944.70 : x
  2. Step 2: Convert to fraction form
    299,128.86/448,416.27 = 156,944.70/x
  3. Step 3: Cross multiply
    299,128.86x = 448,416.27 × 156,944.70
  4. Step 4: Simplify right side
    299,128.86x = 70,376,556,970.27
  5. Step 5: Solve for x
    x = 70,376,556,970.27/299,128.86
  6. Step 6: Final answer
    x = 235,271.71

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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.