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Finding the Fourth Proportional to 630,113.28, 945,221.12 and 186,880

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Solution

The fourth proportional to 630,113.28, 945,221.12 and 186,880 is: 280,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,113.28 : 945,221.12 = 186,880 : x
  2. Step 2: Convert to fraction form
    630,113.28/945,221.12 = 186,880/x
  3. Step 3: Cross multiply
    630,113.28x = 945,221.12 × 186,880
  4. Step 4: Simplify right side
    630,113.28x = 176,642,922,905.60
  5. Step 5: Solve for x
    x = 176,642,922,905.60/630,113.28
  6. Step 6: Final answer
    x = 280,335.18

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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.