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Finding the Fourth Proportional to 580,146.49, 869,378.55 and 411,996.16

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Solution

The fourth proportional to 580,146.49, 869,378.55 and 411,996.16 is: 617,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,146.49 : 869,378.55 = 411,996.16 : x
  2. Step 2: Convert to fraction form
    580,146.49/869,378.55 = 411,996.16/x
  3. Step 3: Cross multiply
    580,146.49x = 869,378.55 × 411,996.16
  4. Step 4: Simplify right side
    580,146.49x = 358,180,624,186.37
  5. Step 5: Solve for x
    x = 358,180,624,186.37/580,146.49
  6. Step 6: Final answer
    x = 617,396.87

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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.