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Finding the Fourth Proportional to 567,137.16, 782,684.22 and 312,488.28

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Solution

The fourth proportional to 567,137.16, 782,684.22 and 312,488.28 is: 431,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,137.16 : 782,684.22 = 312,488.28 : x
  2. Step 2: Convert to fraction form
    567,137.16/782,684.22 = 312,488.28/x
  3. Step 3: Cross multiply
    567,137.16x = 782,684.22 × 312,488.28
  4. Step 4: Simplify right side
    567,137.16x = 244,579,645,690.94
  5. Step 5: Solve for x
    x = 244,579,645,690.94/567,137.16
  6. Step 6: Final answer
    x = 431,253.08

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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.