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Finding the Fourth Proportional to 401,098.42, 553,491.79 and 219,774.25

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Solution

The fourth proportional to 401,098.42, 553,491.79 and 219,774.25 is: 303,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,098.42 : 553,491.79 = 219,774.25 : x
  2. Step 2: Convert to fraction form
    401,098.42/553,491.79 = 219,774.25/x
  3. Step 3: Cross multiply
    401,098.42x = 553,491.79 × 219,774.25
  4. Step 4: Simplify right side
    401,098.42x = 121,643,243,028.41
  5. Step 5: Solve for x
    x = 121,643,243,028.41/401,098.42
  6. Step 6: Final answer
    x = 303,275.30

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1.5x scale

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.