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Finding the Fourth Proportional to 646,162.24, 891,696.56 and 355,767.87

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Solution

The fourth proportional to 646,162.24, 891,696.56 and 355,767.87 is: 490,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,162.24 : 891,696.56 = 355,767.87 : x
  2. Step 2: Convert to fraction form
    646,162.24/891,696.56 = 355,767.87/x
  3. Step 3: Cross multiply
    646,162.24x = 891,696.56 × 355,767.87
  4. Step 4: Simplify right side
    646,162.24x = 317,236,985,895.25
  5. Step 5: Solve for x
    x = 317,236,985,895.25/646,162.24
  6. Step 6: Final answer
    x = 490,955.63

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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.