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Finding the Fourth Proportional to 546,408.23, 815,338.53 and 489,670.16

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Solution

The fourth proportional to 546,408.23, 815,338.53 and 489,670.16 is: 730,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,408.23 : 815,338.53 = 489,670.16 : x
  2. Step 2: Convert to fraction form
    546,408.23/815,338.53 = 489,670.16/x
  3. Step 3: Cross multiply
    546,408.23x = 815,338.53 × 489,670.16
  4. Step 4: Simplify right side
    546,408.23x = 399,246,944,362.57
  5. Step 5: Solve for x
    x = 399,246,944,362.57/546,408.23
  6. Step 6: Final answer
    x = 730,675.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.