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Finding the Fourth Proportional to 219,489.52, 328,985.40 and 100,916.08

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Solution

The fourth proportional to 219,489.52, 328,985.40 and 100,916.08 is: 151,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,489.52 : 328,985.40 = 100,916.08 : x
  2. Step 2: Convert to fraction form
    219,489.52/328,985.40 = 100,916.08/x
  3. Step 3: Cross multiply
    219,489.52x = 328,985.40 × 100,916.08
  4. Step 4: Simplify right side
    219,489.52x = 33,199,916,945.23
  5. Step 5: Solve for x
    x = 33,199,916,945.23/219,489.52
  6. Step 6: Final answer
    x = 151,259.69

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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.