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Finding the Fourth Proportional to 291,464.33, 402,193.49 and 215,025.98

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Solution

The fourth proportional to 291,464.33, 402,193.49 and 215,025.98 is: 296,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,464.33 : 402,193.49 = 215,025.98 : x
  2. Step 2: Convert to fraction form
    291,464.33/402,193.49 = 215,025.98/x
  3. Step 3: Cross multiply
    291,464.33x = 402,193.49 × 215,025.98
  4. Step 4: Simplify right side
    291,464.33x = 86,482,046,250.77
  5. Step 5: Solve for x
    x = 86,482,046,250.77/291,464.33
  6. Step 6: Final answer
    x = 296,715.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.