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Finding the Fourth Proportional to 453,651.80, 680,477.70 and 403,788.20

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Solution

The fourth proportional to 453,651.80, 680,477.70 and 403,788.20 is: 605,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,651.80 : 680,477.70 = 403,788.20 : x
  2. Step 2: Convert to fraction form
    453,651.80/680,477.70 = 403,788.20/x
  3. Step 3: Cross multiply
    453,651.80x = 680,477.70 × 403,788.20
  4. Step 4: Simplify right side
    453,651.80x = 274,768,865,623.14
  5. Step 5: Solve for x
    x = 274,768,865,623.14/453,651.80
  6. Step 6: Final answer
    x = 605,682.30

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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.