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Finding the Fourth Proportional to 567,326.94, 782,916.63 and 312,687.90

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Solution

The fourth proportional to 567,326.94, 782,916.63 and 312,687.90 is: 431,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,326.94 : 782,916.63 = 312,687.90 : x
  2. Step 2: Convert to fraction form
    567,326.94/782,916.63 = 312,687.90/x
  3. Step 3: Cross multiply
    567,326.94x = 782,916.63 × 312,687.90
  4. Step 4: Simplify right side
    567,326.94x = 244,808,556,909.78
  5. Step 5: Solve for x
    x = 244,808,556,909.78/567,326.94
  6. Step 6: Final answer
    x = 431,512.31

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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.