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Finding the Fourth Proportional to 313,563, 472,436.40 and 283,611.77

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Solution

The fourth proportional to 313,563, 472,436.40 and 283,611.77 is: 427,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,563 : 472,436.40 = 283,611.77 : x
  2. Step 2: Convert to fraction form
    313,563/472,436.40 = 283,611.77/x
  3. Step 3: Cross multiply
    313,563x = 472,436.40 × 283,611.77
  4. Step 4: Simplify right side
    313,563x = 133,988,523,616.43
  5. Step 5: Solve for x
    x = 133,988,523,616.43/313,563
  6. Step 6: Final answer
    x = 427,309.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.