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Finding the Fourth Proportional to 401,275.32, 553,753.66 and 219,988.74

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Solution

The fourth proportional to 401,275.32, 553,753.66 and 219,988.74 is: 303,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,275.32 : 553,753.66 = 219,988.74 : x
  2. Step 2: Convert to fraction form
    401,275.32/553,753.66 = 219,988.74/x
  3. Step 3: Cross multiply
    401,275.32x = 553,753.66 × 219,988.74
  4. Step 4: Simplify right side
    401,275.32x = 121,819,569,696.72
  5. Step 5: Solve for x
    x = 121,819,569,696.72/401,275.32
  6. Step 6: Final answer
    x = 303,581.02

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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.