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Finding the Fourth Proportional to 360,709.68, 497,938.78 and 215,566.68

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Solution

The fourth proportional to 360,709.68, 497,938.78 and 215,566.68 is: 297,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,709.68 : 497,938.78 = 215,566.68 : x
  2. Step 2: Convert to fraction form
    360,709.68/497,938.78 = 215,566.68/x
  3. Step 3: Cross multiply
    360,709.68x = 497,938.78 × 215,566.68
  4. Step 4: Simplify right side
    360,709.68x = 107,339,009,647.85
  5. Step 5: Solve for x
    x = 107,339,009,647.85/360,709.68
  6. Step 6: Final answer
    x = 297,577.29

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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.