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Finding the Fourth Proportional to 557,296.08, 769,061.64 and 302,649.04

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Solution

The fourth proportional to 557,296.08, 769,061.64 and 302,649.04 is: 417,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,296.08 : 769,061.64 = 302,649.04 : x
  2. Step 2: Convert to fraction form
    557,296.08/769,061.64 = 302,649.04/x
  3. Step 3: Cross multiply
    557,296.08x = 769,061.64 × 302,649.04
  4. Step 4: Simplify right side
    557,296.08x = 232,755,767,046.83
  5. Step 5: Solve for x
    x = 232,755,767,046.83/557,296.08
  6. Step 6: Final answer
    x = 417,651.90

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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.