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Finding the Fourth Proportional to 657,023.78, 906,692.73 and 355,217.78

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Solution

The fourth proportional to 657,023.78, 906,692.73 and 355,217.78 is: 490,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,023.78 : 906,692.73 = 355,217.78 : x
  2. Step 2: Convert to fraction form
    657,023.78/906,692.73 = 355,217.78/x
  3. Step 3: Cross multiply
    657,023.78x = 906,692.73 × 355,217.78
  4. Step 4: Simplify right side
    657,023.78x = 322,073,378,692.74
  5. Step 5: Solve for x
    x = 322,073,378,692.74/657,023.78
  6. Step 6: Final answer
    x = 490,200.49

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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.