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Finding the Fourth Proportional to 657,155.64, 906,875.76 and 355,349.64

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Solution

The fourth proportional to 657,155.64, 906,875.76 and 355,349.64 is: 490,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,155.64 : 906,875.76 = 355,349.64 : x
  2. Step 2: Convert to fraction form
    657,155.64/906,875.76 = 355,349.64/x
  3. Step 3: Cross multiply
    657,155.64x = 906,875.76 × 355,349.64
  4. Step 4: Simplify right side
    657,155.64x = 322,257,974,840.73
  5. Step 5: Solve for x
    x = 322,257,974,840.73/657,155.64
  6. Step 6: Final answer
    x = 490,383.03

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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.