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Finding the Fourth Proportional to 292,133.86, 438,382.23 and 187,028.26

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Solution

The fourth proportional to 292,133.86, 438,382.23 and 187,028.26 is: 280,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,133.86 : 438,382.23 = 187,028.26 : x
  2. Step 2: Convert to fraction form
    292,133.86/438,382.23 = 187,028.26/x
  3. Step 3: Cross multiply
    292,133.86x = 438,382.23 × 187,028.26
  4. Step 4: Simplify right side
    292,133.86x = 81,989,865,691.82
  5. Step 5: Solve for x
    x = 81,989,865,691.82/292,133.86
  6. Step 6: Final answer
    x = 280,658.55

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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.