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Finding the Fourth Proportional to 497,539.40, 746,616.90 and 261,051.80

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Solution

The fourth proportional to 497,539.40, 746,616.90 and 261,051.80 is: 391,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,539.40 : 746,616.90 = 261,051.80 : x
  2. Step 2: Convert to fraction form
    497,539.40/746,616.90 = 261,051.80/x
  3. Step 3: Cross multiply
    497,539.40x = 746,616.90 × 261,051.80
  4. Step 4: Simplify right side
    497,539.40x = 194,905,685,655.42
  5. Step 5: Solve for x
    x = 194,905,685,655.42/497,539.40
  6. Step 6: Final answer
    x = 391,739.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.