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Finding the Fourth Proportional to 520,486, 780,806.76 and 165,511.60

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Solution

The fourth proportional to 520,486, 780,806.76 and 165,511.60 is: 248,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,486 : 780,806.76 = 165,511.60 : x
  2. Step 2: Convert to fraction form
    520,486/780,806.76 = 165,511.60/x
  3. Step 3: Cross multiply
    520,486x = 780,806.76 × 165,511.60
  4. Step 4: Simplify right side
    520,486x = 129,232,576,138.42
  5. Step 5: Solve for x
    x = 129,232,576,138.42/520,486
  6. Step 6: Final answer
    x = 248,292.13

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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.