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Finding the Fourth Proportional to 616,965.64, 851,456 and 345,058.84

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Solution

The fourth proportional to 616,965.64, 851,456 and 345,058.84 is: 476,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,965.64 : 851,456 = 345,058.84 : x
  2. Step 2: Convert to fraction form
    616,965.64/851,456 = 345,058.84/x
  3. Step 3: Cross multiply
    616,965.64x = 851,456 × 345,058.84
  4. Step 4: Simplify right side
    616,965.64x = 293,802,419,671.04
  5. Step 5: Solve for x
    x = 293,802,419,671.04/616,965.64
  6. Step 6: Final answer
    x = 476,205.48

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1.5x scale

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.