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Finding the Fourth Proportional to 729,320, 1,006,496.16 and 411,368

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Solution

The fourth proportional to 729,320, 1,006,496.16 and 411,368 is: 567,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,320 : 1,006,496.16 = 411,368 : x
  2. Step 2: Convert to fraction form
    729,320/1,006,496.16 = 411,368/x
  3. Step 3: Cross multiply
    729,320x = 1,006,496.16 × 411,368
  4. Step 4: Simplify right side
    729,320x = 414,040,312,346.88
  5. Step 5: Solve for x
    x = 414,040,312,346.88/729,320
  6. Step 6: Final answer
    x = 567,707.33

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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.