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Finding the Fourth Proportional to 564,748.84, 779,378.82 and 338,389.48

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Solution

The fourth proportional to 564,748.84, 779,378.82 and 338,389.48 is: 466,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,748.84 : 779,378.82 = 338,389.48 : x
  2. Step 2: Convert to fraction form
    564,748.84/779,378.82 = 338,389.48/x
  3. Step 3: Cross multiply
    564,748.84x = 779,378.82 × 338,389.48
  4. Step 4: Simplify right side
    564,748.84x = 263,733,593,622.81
  5. Step 5: Solve for x
    x = 263,733,593,622.81/564,748.84
  6. Step 6: Final answer
    x = 466,992.71

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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.