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Finding the Fourth Proportional to 567,411.10, 783,003.75 and 309,282.37

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Solution

The fourth proportional to 567,411.10, 783,003.75 and 309,282.37 is: 426,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,411.10 : 783,003.75 = 309,282.37 : x
  2. Step 2: Convert to fraction form
    567,411.10/783,003.75 = 309,282.37/x
  3. Step 3: Cross multiply
    567,411.10x = 783,003.75 × 309,282.37
  4. Step 4: Simplify right side
    567,411.10x = 242,169,251,603.87
  5. Step 5: Solve for x
    x = 242,169,251,603.87/567,411.10
  6. Step 6: Final answer
    x = 426,796.82

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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.