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Finding the Fourth Proportional to 567,430.34, 782,992.05 and 312,732.50

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Solution

The fourth proportional to 567,430.34, 782,992.05 and 312,732.50 is: 431,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,430.34 : 782,992.05 = 312,732.50 : x
  2. Step 2: Convert to fraction form
    567,430.34/782,992.05 = 312,732.50/x
  3. Step 3: Cross multiply
    567,430.34x = 782,992.05 × 312,732.50
  4. Step 4: Simplify right side
    567,430.34x = 244,867,061,276.63
  5. Step 5: Solve for x
    x = 244,867,061,276.63/567,430.34
  6. Step 6: Final answer
    x = 431,536.78

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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.