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Finding the Fourth Proportional to 314,420.70, 471,594.60 and 89,815.80

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Solution

The fourth proportional to 314,420.70, 471,594.60 and 89,815.80 is: 134,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,420.70 : 471,594.60 = 89,815.80 : x
  2. Step 2: Convert to fraction form
    314,420.70/471,594.60 = 89,815.80/x
  3. Step 3: Cross multiply
    314,420.70x = 471,594.60 × 89,815.80
  4. Step 4: Simplify right side
    314,420.70x = 42,356,646,274.68
  5. Step 5: Solve for x
    x = 42,356,646,274.68/314,420.70
  6. Step 6: Final answer
    x = 134,713.29

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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.