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Finding the Fourth Proportional to 567,089.31, 782,582.82 and 312,440.50

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Solution

The fourth proportional to 567,089.31, 782,582.82 and 312,440.50 is: 431,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,089.31 : 782,582.82 = 312,440.50 : x
  2. Step 2: Convert to fraction form
    567,089.31/782,582.82 = 312,440.50/x
  3. Step 3: Cross multiply
    567,089.31x = 782,582.82 × 312,440.50
  4. Step 4: Simplify right side
    567,089.31x = 244,510,567,572.21
  5. Step 5: Solve for x
    x = 244,510,567,572.21/567,089.31
  6. Step 6: Final answer
    x = 431,167.65

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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.