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Finding the Fourth Proportional to 379,647.71, 569,628.75 and 166,305.40

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Solution

The fourth proportional to 379,647.71, 569,628.75 and 166,305.40 is: 249,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,647.71 : 569,628.75 = 166,305.40 : x
  2. Step 2: Convert to fraction form
    379,647.71/569,628.75 = 166,305.40/x
  3. Step 3: Cross multiply
    379,647.71x = 569,628.75 × 166,305.40
  4. Step 4: Simplify right side
    379,647.71x = 94,732,339,523.99
  5. Step 5: Solve for x
    x = 94,732,339,523.99/379,647.71
  6. Step 6: Final answer
    x = 249,526.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.