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Finding the Fourth Proportional to 312,524.50, 431,258.24 and 176,570.25

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Solution

The fourth proportional to 312,524.50, 431,258.24 and 176,570.25 is: 243,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,524.50 : 431,258.24 = 176,570.25 : x
  2. Step 2: Convert to fraction form
    312,524.50/431,258.24 = 176,570.25/x
  3. Step 3: Cross multiply
    312,524.50x = 431,258.24 × 176,570.25
  4. Step 4: Simplify right side
    312,524.50x = 76,147,374,368.51
  5. Step 5: Solve for x
    x = 76,147,374,368.51/312,524.50
  6. Step 6: Final answer
    x = 243,652.50

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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.