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Finding the Fourth Proportional to 564,858, 779,573.16 and 326,394

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Solution

The fourth proportional to 564,858, 779,573.16 and 326,394 is: 450,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,858 : 779,573.16 = 326,394 : x
  2. Step 2: Convert to fraction form
    564,858/779,573.16 = 326,394/x
  3. Step 3: Cross multiply
    564,858x = 779,573.16 × 326,394
  4. Step 4: Simplify right side
    564,858x = 254,448,001,985.04
  5. Step 5: Solve for x
    x = 254,448,001,985.04/564,858
  6. Step 6: Final answer
    x = 450,463.66

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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.