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Finding the Fourth Proportional to 747,193, 1,031,126.34 and 478,921

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Solution

The fourth proportional to 747,193, 1,031,126.34 and 478,921 is: 660,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,193 : 1,031,126.34 = 478,921 : x
  2. Step 2: Convert to fraction form
    747,193/1,031,126.34 = 478,921/x
  3. Step 3: Cross multiply
    747,193x = 1,031,126.34 × 478,921
  4. Step 4: Simplify right side
    747,193x = 493,828,057,879.14
  5. Step 5: Solve for x
    x = 493,828,057,879.14/747,193
  6. Step 6: Final answer
    x = 660,910.98

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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.