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Finding the Fourth Proportional to 587,781.26, 810,387.30 and 380,683.82

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Solution

The fourth proportional to 587,781.26, 810,387.30 and 380,683.82 is: 524,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,781.26 : 810,387.30 = 380,683.82 : x
  2. Step 2: Convert to fraction form
    587,781.26/810,387.30 = 380,683.82/x
  3. Step 3: Cross multiply
    587,781.26x = 810,387.30 × 380,683.82
  4. Step 4: Simplify right side
    587,781.26x = 308,501,333,043.49
  5. Step 5: Solve for x
    x = 308,501,333,043.49/587,781.26
  6. Step 6: Final answer
    x = 524,857.38

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1.5x scale

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.