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Finding the Fourth Proportional to 567,489.63, 783,140.91 and 312,849.93

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Solution

The fourth proportional to 567,489.63, 783,140.91 and 312,849.93 is: 431,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,489.63 : 783,140.91 = 312,849.93 : x
  2. Step 2: Convert to fraction form
    567,489.63/783,140.91 = 312,849.93/x
  3. Step 3: Cross multiply
    567,489.63x = 783,140.91 × 312,849.93
  4. Step 4: Simplify right side
    567,489.63x = 245,005,578,873.64
  5. Step 5: Solve for x
    x = 245,005,578,873.64/567,489.63
  6. Step 6: Final answer
    x = 431,735.78

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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.