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Finding the Fourth Proportional to 291,930.90, 437,205.15 and 197,927.70

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Solution

The fourth proportional to 291,930.90, 437,205.15 and 197,927.70 is: 296,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,930.90 : 437,205.15 = 197,927.70 : x
  2. Step 2: Convert to fraction form
    291,930.90/437,205.15 = 197,927.70/x
  3. Step 3: Cross multiply
    291,930.90x = 437,205.15 × 197,927.70
  4. Step 4: Simplify right side
    291,930.90x = 86,535,009,767.66
  5. Step 5: Solve for x
    x = 86,535,009,767.66/291,930.90
  6. Step 6: Final answer
    x = 296,422.92

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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.