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Finding the Fourth Proportional to 500,746, 691,029.48 and 288,778

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Solution

The fourth proportional to 500,746, 691,029.48 and 288,778 is: 398,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,746 : 691,029.48 = 288,778 : x
  2. Step 2: Convert to fraction form
    500,746/691,029.48 = 288,778/x
  3. Step 3: Cross multiply
    500,746x = 691,029.48 × 288,778
  4. Step 4: Simplify right side
    500,746x = 199,554,111,175.44
  5. Step 5: Solve for x
    x = 199,554,111,175.44/500,746
  6. Step 6: Final answer
    x = 398,513.64

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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.