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Finding the Fourth Proportional to 813,103.82, 1,122,053 and 468,954.16

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Solution

The fourth proportional to 813,103.82, 1,122,053 and 468,954.16 is: 647,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,103.82 : 1,122,053 = 468,954.16 : x
  2. Step 2: Convert to fraction form
    813,103.82/1,122,053 = 468,954.16/x
  3. Step 3: Cross multiply
    813,103.82x = 1,122,053 × 468,954.16
  4. Step 4: Simplify right side
    813,103.82x = 526,191,422,090.48
  5. Step 5: Solve for x
    x = 526,191,422,090.48/813,103.82
  6. Step 6: Final answer
    x = 647,139.28

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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.