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Finding the Fourth Proportional to 314,929.80, 472,394.70 and 188,958.60

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Solution

The fourth proportional to 314,929.80, 472,394.70 and 188,958.60 is: 283,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,929.80 : 472,394.70 = 188,958.60 : x
  2. Step 2: Convert to fraction form
    314,929.80/472,394.70 = 188,958.60/x
  3. Step 3: Cross multiply
    314,929.80x = 472,394.70 × 188,958.60
  4. Step 4: Simplify right side
    314,929.80x = 89,263,041,159.42
  5. Step 5: Solve for x
    x = 89,263,041,159.42/314,929.80
  6. Step 6: Final answer
    x = 283,437.90

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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.