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Finding the Fourth Proportional to 314,526.63, 434,043.77 and 171,289.07

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Solution

The fourth proportional to 314,526.63, 434,043.77 and 171,289.07 is: 236,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,526.63 : 434,043.77 = 171,289.07 : x
  2. Step 2: Convert to fraction form
    314,526.63/434,043.77 = 171,289.07/x
  3. Step 3: Cross multiply
    314,526.63x = 434,043.77 × 171,289.07
  4. Step 4: Simplify right side
    314,526.63x = 74,346,950,675.93
  5. Step 5: Solve for x
    x = 74,346,950,675.93/314,526.63
  6. Step 6: Final answer
    x = 236,377.28

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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.