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Finding the Fourth Proportional to 576,314.10, 863,369.55 and 309,986.10

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Solution

The fourth proportional to 576,314.10, 863,369.55 and 309,986.10 is: 464,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,314.10 : 863,369.55 = 309,986.10 : x
  2. Step 2: Convert to fraction form
    576,314.10/863,369.55 = 309,986.10/x
  3. Step 3: Cross multiply
    576,314.10x = 863,369.55 × 309,986.10
  4. Step 4: Simplify right side
    576,314.10x = 267,632,559,663.26
  5. Step 5: Solve for x
    x = 267,632,559,663.26/576,314.10
  6. Step 6: Final answer
    x = 464,386.62

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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.