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Finding the Fourth Proportional to 401,389.16, 553,916.75 and 220,104.16

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Solution

The fourth proportional to 401,389.16, 553,916.75 and 220,104.16 is: 303,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,389.16 : 553,916.75 = 220,104.16 : x
  2. Step 2: Convert to fraction form
    401,389.16/553,916.75 = 220,104.16/x
  3. Step 3: Cross multiply
    401,389.16x = 553,916.75 × 220,104.16
  4. Step 4: Simplify right side
    401,389.16x = 121,919,378,483.37
  5. Step 5: Solve for x
    x = 121,919,378,483.37/401,389.16
  6. Step 6: Final answer
    x = 303,743.58

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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.