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Finding the Fourth Proportional to 400,715.52, 552,988.35 and 219,439.32

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Solution

The fourth proportional to 400,715.52, 552,988.35 and 219,439.32 is: 302,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,715.52 : 552,988.35 = 219,439.32 : x
  2. Step 2: Convert to fraction form
    400,715.52/552,988.35 = 219,439.32/x
  3. Step 3: Cross multiply
    400,715.52x = 552,988.35 × 219,439.32
  4. Step 4: Simplify right side
    400,715.52x = 121,347,387,491.92
  5. Step 5: Solve for x
    x = 121,347,387,491.92/400,715.52
  6. Step 6: Final answer
    x = 302,826.77

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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.