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Finding the Fourth Proportional to 609,780, 841,496.40 and 341,508

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Solution

The fourth proportional to 609,780, 841,496.40 and 341,508 is: 471,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,780 : 841,496.40 = 341,508 : x
  2. Step 2: Convert to fraction form
    609,780/841,496.40 = 341,508/x
  3. Step 3: Cross multiply
    609,780x = 841,496.40 × 341,508
  4. Step 4: Simplify right side
    609,780x = 287,377,752,571.20
  5. Step 5: Solve for x
    x = 287,377,752,571.20/609,780
  6. Step 6: Final answer
    x = 471,281.04

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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.