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Finding the Fourth Proportional to 767,808.72, 1,058,994 and 461,862

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Solution

The fourth proportional to 767,808.72, 1,058,994 and 461,862 is: 637,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,808.72 : 1,058,994 = 461,862 : x
  2. Step 2: Convert to fraction form
    767,808.72/1,058,994 = 461,862/x
  3. Step 3: Cross multiply
    767,808.72x = 1,058,994 × 461,862
  4. Step 4: Simplify right side
    767,808.72x = 489,109,086,828
  5. Step 5: Solve for x
    x = 489,109,086,828/767,808.72
  6. Step 6: Final answer
    x = 637,019.45

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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.