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Finding the Fourth Proportional to 619,924.52, 855,275.82 and 405,188.57

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Solution

The fourth proportional to 619,924.52, 855,275.82 and 405,188.57 is: 559,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,924.52 : 855,275.82 = 405,188.57 : x
  2. Step 2: Convert to fraction form
    619,924.52/855,275.82 = 405,188.57/x
  3. Step 3: Cross multiply
    619,924.52x = 855,275.82 × 405,188.57
  4. Step 4: Simplify right side
    619,924.52x = 346,547,986,461.38
  5. Step 5: Solve for x
    x = 346,547,986,461.38/619,924.52
  6. Step 6: Final answer
    x = 559,016.42

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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.