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Finding the Fourth Proportional to 235,171.97, 324,412.93 and 148,978.90

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Solution

The fourth proportional to 235,171.97, 324,412.93 and 148,978.90 is: 205,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,171.97 : 324,412.93 = 148,978.90 : x
  2. Step 2: Convert to fraction form
    235,171.97/324,412.93 = 148,978.90/x
  3. Step 3: Cross multiply
    235,171.97x = 324,412.93 × 148,978.90
  4. Step 4: Simplify right side
    235,171.97x = 48,330,681,457.18
  5. Step 5: Solve for x
    x = 48,330,681,457.18/235,171.97
  6. Step 6: Final answer
    x = 205,512.08

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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.