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Finding the Fourth Proportional to 657,002.34, 906,664.32 and 355,196.34

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Solution

The fourth proportional to 657,002.34, 906,664.32 and 355,196.34 is: 490,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,002.34 : 906,664.32 = 355,196.34 : x
  2. Step 2: Convert to fraction form
    657,002.34/906,664.32 = 355,196.34/x
  3. Step 3: Cross multiply
    657,002.34x = 906,664.32 × 355,196.34
  4. Step 4: Simplify right side
    657,002.34x = 322,043,848,072.59
  5. Step 5: Solve for x
    x = 322,043,848,072.59/657,002.34
  6. Step 6: Final answer
    x = 490,171.54

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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.