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Finding the Fourth Proportional to 291,664.80, 437,594.40 and 141,998.40

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Solution

The fourth proportional to 291,664.80, 437,594.40 and 141,998.40 is: 213,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,664.80 : 437,594.40 = 141,998.40 : x
  2. Step 2: Convert to fraction form
    291,664.80/437,594.40 = 141,998.40/x
  3. Step 3: Cross multiply
    291,664.80x = 437,594.40 × 141,998.40
  4. Step 4: Simplify right side
    291,664.80x = 62,137,704,648.96
  5. Step 5: Solve for x
    x = 62,137,704,648.96/291,664.80
  6. Step 6: Final answer
    x = 213,044.92

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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.