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Finding the Fourth Proportional to 855,503, 1,180,905.66 and 497,807

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Solution

The fourth proportional to 855,503, 1,180,905.66 and 497,807 is: 687,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,503 : 1,180,905.66 = 497,807 : x
  2. Step 2: Convert to fraction form
    855,503/1,180,905.66 = 497,807/x
  3. Step 3: Cross multiply
    855,503x = 1,180,905.66 × 497,807
  4. Step 4: Simplify right side
    855,503x = 587,863,103,887.62
  5. Step 5: Solve for x
    x = 587,863,103,887.62/855,503
  6. Step 6: Final answer
    x = 687,154.93

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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.