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Finding the Fourth Proportional to 374,785.47, 561,277.35 and 214,375.05

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Solution

The fourth proportional to 374,785.47, 561,277.35 and 214,375.05 is: 321,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,785.47 : 561,277.35 = 214,375.05 : x
  2. Step 2: Convert to fraction form
    374,785.47/561,277.35 = 214,375.05/x
  3. Step 3: Cross multiply
    374,785.47x = 561,277.35 × 214,375.05
  4. Step 4: Simplify right side
    374,785.47x = 120,323,859,970.12
  5. Step 5: Solve for x
    x = 120,323,859,970.12/374,785.47
  6. Step 6: Final answer
    x = 321,047.29

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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.