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Finding the Fourth Proportional to 564,799, 779,491.74 and 326,335

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Solution

The fourth proportional to 564,799, 779,491.74 and 326,335 is: 450,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,799 : 779,491.74 = 326,335 : x
  2. Step 2: Convert to fraction form
    564,799/779,491.74 = 326,335/x
  3. Step 3: Cross multiply
    564,799x = 779,491.74 × 326,335
  4. Step 4: Simplify right side
    564,799x = 254,375,436,972.90
  5. Step 5: Solve for x
    x = 254,375,436,972.90/564,799
  6. Step 6: Final answer
    x = 450,382.24

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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.