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Finding the Fourth Proportional to 657,187.75, 906,919.15 and 355,381.75

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Solution

The fourth proportional to 657,187.75, 906,919.15 and 355,381.75 is: 490,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,187.75 : 906,919.15 = 355,381.75 : x
  2. Step 2: Convert to fraction form
    657,187.75/906,919.15 = 355,381.75/x
  3. Step 3: Cross multiply
    657,187.75x = 906,919.15 × 355,381.75
  4. Step 4: Simplify right side
    657,187.75x = 322,302,514,635.51
  5. Step 5: Solve for x
    x = 322,302,514,635.51/657,187.75
  6. Step 6: Final answer
    x = 490,426.84

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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.