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Finding the Fourth Proportional to 400,782.42, 553,079.94 and 219,505.76

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Solution

The fourth proportional to 400,782.42, 553,079.94 and 219,505.76 is: 302,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,782.42 : 553,079.94 = 219,505.76 : x
  2. Step 2: Convert to fraction form
    400,782.42/553,079.94 = 219,505.76/x
  3. Step 3: Cross multiply
    400,782.42x = 553,079.94 × 219,505.76
  4. Step 4: Simplify right side
    400,782.42x = 121,404,230,117.78
  5. Step 5: Solve for x
    x = 121,404,230,117.78/400,782.42
  6. Step 6: Final answer
    x = 302,918.05

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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.