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Finding the Fourth Proportional to 314,561.23, 471,661.92 and 145,994.76

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Solution

The fourth proportional to 314,561.23, 471,661.92 and 145,994.76 is: 218,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,561.23 : 471,661.92 = 145,994.76 : x
  2. Step 2: Convert to fraction form
    314,561.23/471,661.92 = 145,994.76/x
  3. Step 3: Cross multiply
    314,561.23x = 471,661.92 × 145,994.76
  4. Step 4: Simplify right side
    314,561.23x = 68,860,168,811.54
  5. Step 5: Solve for x
    x = 68,860,168,811.54/314,561.23
  6. Step 6: Final answer
    x = 218,908.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.