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Finding the Fourth Proportional to 314,651.94, 471,969.26 and 77,989.38

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Solution

The fourth proportional to 314,651.94, 471,969.26 and 77,989.38 is: 116,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,651.94 : 471,969.26 = 77,989.38 : x
  2. Step 2: Convert to fraction form
    314,651.94/471,969.26 = 77,989.38/x
  3. Step 3: Cross multiply
    314,651.94x = 471,969.26 × 77,989.38
  4. Step 4: Simplify right side
    314,651.94x = 36,808,589,966.46
  5. Step 5: Solve for x
    x = 36,808,589,966.46/314,651.94
  6. Step 6: Final answer
    x = 116,981.93

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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.