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Finding the Fourth Proportional to 747,162, 1,031,083.80 and 478,890

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Solution

The fourth proportional to 747,162, 1,031,083.80 and 478,890 is: 660,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,162 : 1,031,083.80 = 478,890 : x
  2. Step 2: Convert to fraction form
    747,162/1,031,083.80 = 478,890/x
  3. Step 3: Cross multiply
    747,162x = 1,031,083.80 × 478,890
  4. Step 4: Simplify right side
    747,162x = 493,775,720,982
  5. Step 5: Solve for x
    x = 493,775,720,982/747,162
  6. Step 6: Final answer
    x = 660,868.35

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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.