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Finding the Fourth Proportional to 314,809.23, 434,437.07 and 171,569.39

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Solution

The fourth proportional to 314,809.23, 434,437.07 and 171,569.39 is: 236,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,809.23 : 434,437.07 = 171,569.39 : x
  2. Step 2: Convert to fraction form
    314,809.23/434,437.07 = 171,569.39/x
  3. Step 3: Cross multiply
    314,809.23x = 434,437.07 × 171,569.39
  4. Step 4: Simplify right side
    314,809.23x = 74,536,103,472.04
  5. Step 5: Solve for x
    x = 74,536,103,472.04/314,809.23
  6. Step 6: Final answer
    x = 236,765.94

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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.