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Finding the Fourth Proportional to 491,567.86, 678,356.13 and 276,707.26

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Solution

The fourth proportional to 491,567.86, 678,356.13 and 276,707.26 is: 381,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,567.86 : 678,356.13 = 276,707.26 : x
  2. Step 2: Convert to fraction form
    491,567.86/678,356.13 = 276,707.26/x
  3. Step 3: Cross multiply
    491,567.86x = 678,356.13 × 276,707.26
  4. Step 4: Simplify right side
    491,567.86x = 187,706,066,036.50
  5. Step 5: Solve for x
    x = 187,706,066,036.50/491,567.86
  6. Step 6: Final answer
    x = 381,851.79

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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.