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Finding the Fourth Proportional to 520,141.02, 780,131.85 and 165,109.02

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Solution

The fourth proportional to 520,141.02, 780,131.85 and 165,109.02 is: 247,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,141.02 : 780,131.85 = 165,109.02 : x
  2. Step 2: Convert to fraction form
    520,141.02/780,131.85 = 165,109.02/x
  3. Step 3: Cross multiply
    520,141.02x = 780,131.85 × 165,109.02
  4. Step 4: Simplify right side
    520,141.02x = 128,806,805,224.29
  5. Step 5: Solve for x
    x = 128,806,805,224.29/520,141.02
  6. Step 6: Final answer
    x = 247,638.24

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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.