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Finding the Fourth Proportional to 659,843.31, 910,372.15 and 369,412.19

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Solution

The fourth proportional to 659,843.31, 910,372.15 and 369,412.19 is: 509,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,843.31 : 910,372.15 = 369,412.19 : x
  2. Step 2: Convert to fraction form
    659,843.31/910,372.15 = 369,412.19/x
  3. Step 3: Cross multiply
    659,843.31x = 910,372.15 × 369,412.19
  4. Step 4: Simplify right side
    659,843.31x = 336,302,568,970.31
  5. Step 5: Solve for x
    x = 336,302,568,970.31/659,843.31
  6. Step 6: Final answer
    x = 509,670.35

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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.