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Finding the Fourth Proportional to 646,664.08, 891,471 and 455,082.16

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Solution

The fourth proportional to 646,664.08, 891,471 and 455,082.16 is: 627,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,664.08 : 891,471 = 455,082.16 : x
  2. Step 2: Convert to fraction form
    646,664.08/891,471 = 455,082.16/x
  3. Step 3: Cross multiply
    646,664.08x = 891,471 × 455,082.16
  4. Step 4: Simplify right side
    646,664.08x = 405,692,548,257.36
  5. Step 5: Solve for x
    x = 405,692,548,257.36/646,664.08
  6. Step 6: Final answer
    x = 627,362.12

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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.