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Finding the Fourth Proportional to 458,866.27, 688,312.94 and 219,005.42

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Solution

The fourth proportional to 458,866.27, 688,312.94 and 219,005.42 is: 328,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.27 : 688,312.94 = 219,005.42 : x
  2. Step 2: Convert to fraction form
    458,866.27/688,312.94 = 219,005.42/x
  3. Step 3: Cross multiply
    458,866.27x = 688,312.94 × 219,005.42
  4. Step 4: Simplify right side
    458,866.27x = 150,744,265,083.21
  5. Step 5: Solve for x
    x = 150,744,265,083.21/458,866.27
  6. Step 6: Final answer
    x = 328,514.59

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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.