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Finding the Fourth Proportional to 219,218.32, 328,827.64 and 53,006.48

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Solution

The fourth proportional to 219,218.32, 328,827.64 and 53,006.48 is: 79,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,218.32 : 328,827.64 = 53,006.48 : x
  2. Step 2: Convert to fraction form
    219,218.32/328,827.64 = 53,006.48/x
  3. Step 3: Cross multiply
    219,218.32x = 328,827.64 × 53,006.48
  4. Step 4: Simplify right side
    219,218.32x = 17,429,995,723.11
  5. Step 5: Solve for x
    x = 17,429,995,723.11/219,218.32
  6. Step 6: Final answer
    x = 79,509.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.