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Finding the Fourth Proportional to 746,163, 1,029,712.23 and 406,638.54

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Solution

The fourth proportional to 746,163, 1,029,712.23 and 406,638.54 is: 561,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,163 : 1,029,712.23 = 406,638.54 : x
  2. Step 2: Convert to fraction form
    746,163/1,029,712.23 = 406,638.54/x
  3. Step 3: Cross multiply
    746,163x = 1,029,712.23 × 406,638.54
  4. Step 4: Simplify right side
    746,163x = 418,720,677,827.34
  5. Step 5: Solve for x
    x = 418,720,677,827.34/746,163
  6. Step 6: Final answer
    x = 561,165.16

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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.