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Finding the Fourth Proportional to 314,804.34, 434,417.31 and 171,561.29

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Solution

The fourth proportional to 314,804.34, 434,417.31 and 171,561.29 is: 236,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,804.34 : 434,417.31 = 171,561.29 : x
  2. Step 2: Convert to fraction form
    314,804.34/434,417.31 = 171,561.29/x
  3. Step 3: Cross multiply
    314,804.34x = 434,417.31 × 171,561.29
  4. Step 4: Simplify right side
    314,804.34x = 74,529,191,929.84
  5. Step 5: Solve for x
    x = 74,529,191,929.84/314,804.34
  6. Step 6: Final answer
    x = 236,747.66

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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.