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Finding the Fourth Proportional to 567,270.48, 782,849.64 and 312,638.08

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Solution

The fourth proportional to 567,270.48, 782,849.64 and 312,638.08 is: 431,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,270.48 : 782,849.64 = 312,638.08 : x
  2. Step 2: Convert to fraction form
    567,270.48/782,849.64 = 312,638.08/x
  3. Step 3: Cross multiply
    567,270.48x = 782,849.64 × 312,638.08
  4. Step 4: Simplify right side
    567,270.48x = 244,748,608,378.29
  5. Step 5: Solve for x
    x = 244,748,608,378.29/567,270.48
  6. Step 6: Final answer
    x = 431,449.58

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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.