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Finding the Fourth Proportional to 290,565, 400,887.54 and 177,331.08

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Solution

The fourth proportional to 290,565, 400,887.54 and 177,331.08 is: 244,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,565 : 400,887.54 = 177,331.08 : x
  2. Step 2: Convert to fraction form
    290,565/400,887.54 = 177,331.08/x
  3. Step 3: Cross multiply
    290,565x = 400,887.54 × 177,331.08
  4. Step 4: Simplify right side
    290,565x = 71,089,820,426.74
  5. Step 5: Solve for x
    x = 71,089,820,426.74/290,565
  6. Step 6: Final answer
    x = 244,660.65

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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.