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Finding the Fourth Proportional to 838,377, 1,156,960.26 and 456,381

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Solution

The fourth proportional to 838,377, 1,156,960.26 and 456,381 is: 629,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,377 : 1,156,960.26 = 456,381 : x
  2. Step 2: Convert to fraction form
    838,377/1,156,960.26 = 456,381/x
  3. Step 3: Cross multiply
    838,377x = 1,156,960.26 × 456,381
  4. Step 4: Simplify right side
    838,377x = 528,014,680,419.06
  5. Step 5: Solve for x
    x = 528,014,680,419.06/838,377
  6. Step 6: Final answer
    x = 629,805.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.