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Finding the Fourth Proportional to 855,502, 1,180,904.28 and 497,806

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Solution

The fourth proportional to 855,502, 1,180,904.28 and 497,806 is: 687,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,502 : 1,180,904.28 = 497,806 : x
  2. Step 2: Convert to fraction form
    855,502/1,180,904.28 = 497,806/x
  3. Step 3: Cross multiply
    855,502x = 1,180,904.28 × 497,806
  4. Step 4: Simplify right side
    855,502x = 587,861,236,009.68
  5. Step 5: Solve for x
    x = 587,861,236,009.68/855,502
  6. Step 6: Final answer
    x = 687,153.55

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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.