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Finding the Fourth Proportional to 657,054.88, 906,929.65 and 385,181.62

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Solution

The fourth proportional to 657,054.88, 906,929.65 and 385,181.62 is: 531,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,054.88 : 906,929.65 = 385,181.62 : x
  2. Step 2: Convert to fraction form
    657,054.88/906,929.65 = 385,181.62/x
  3. Step 3: Cross multiply
    657,054.88x = 906,929.65 × 385,181.62
  4. Step 4: Simplify right side
    657,054.88x = 349,332,630,027.19
  5. Step 5: Solve for x
    x = 349,332,630,027.19/657,054.88
  6. Step 6: Final answer
    x = 531,664.31

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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.