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Finding the Fourth Proportional to 427,857.23, 642,108.65 and 292,598.11

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Solution

The fourth proportional to 427,857.23, 642,108.65 and 292,598.11 is: 439,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,857.23 : 642,108.65 = 292,598.11 : x
  2. Step 2: Convert to fraction form
    427,857.23/642,108.65 = 292,598.11/x
  3. Step 3: Cross multiply
    427,857.23x = 642,108.65 × 292,598.11
  4. Step 4: Simplify right side
    427,857.23x = 187,879,777,404.65
  5. Step 5: Solve for x
    x = 187,879,777,404.65/427,857.23
  6. Step 6: Final answer
    x = 439,117.92

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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.