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Finding the Fourth Proportional to 557,575.31, 769,491.98 and 315,859.87

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Solution

The fourth proportional to 557,575.31, 769,491.98 and 315,859.87 is: 435,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,575.31 : 769,491.98 = 315,859.87 : x
  2. Step 2: Convert to fraction form
    557,575.31/769,491.98 = 315,859.87/x
  3. Step 3: Cross multiply
    557,575.31x = 769,491.98 × 315,859.87
  4. Step 4: Simplify right side
    557,575.31x = 243,051,635,634.76
  5. Step 5: Solve for x
    x = 243,051,635,634.76/557,575.31
  6. Step 6: Final answer
    x = 435,908.17

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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.