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Finding the Fourth Proportional to 729,321, 1,006,497.54 and 411,369

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Solution

The fourth proportional to 729,321, 1,006,497.54 and 411,369 is: 567,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,321 : 1,006,497.54 = 411,369 : x
  2. Step 2: Convert to fraction form
    729,321/1,006,497.54 = 411,369/x
  3. Step 3: Cross multiply
    729,321x = 1,006,497.54 × 411,369
  4. Step 4: Simplify right side
    729,321x = 414,041,886,532.26
  5. Step 5: Solve for x
    x = 414,041,886,532.26/729,321
  6. Step 6: Final answer
    x = 567,708.71

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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.