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Finding the Fourth Proportional to 314,338.54, 471,508.20 and 77,677.60

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Solution

The fourth proportional to 314,338.54, 471,508.20 and 77,677.60 is: 116,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,338.54 : 471,508.20 = 77,677.60 : x
  2. Step 2: Convert to fraction form
    314,338.54/471,508.20 = 77,677.60/x
  3. Step 3: Cross multiply
    314,338.54x = 471,508.20 × 77,677.60
  4. Step 4: Simplify right side
    314,338.54x = 36,625,625,356.32
  5. Step 5: Solve for x
    x = 36,625,625,356.32/314,338.54
  6. Step 6: Final answer
    x = 116,516.50

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1.5x scale

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.