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Finding the Fourth Proportional to 567,078.30, 782,603.37 and 312,429.42

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Solution

The fourth proportional to 567,078.30, 782,603.37 and 312,429.42 is: 431,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,078.30 : 782,603.37 = 312,429.42 : x
  2. Step 2: Convert to fraction form
    567,078.30/782,603.37 = 312,429.42/x
  3. Step 3: Cross multiply
    567,078.30x = 782,603.37 × 312,429.42
  4. Step 4: Simplify right side
    567,078.30x = 244,508,316,979.15
  5. Step 5: Solve for x
    x = 244,508,316,979.15/567,078.30
  6. Step 6: Final answer
    x = 431,172.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.