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Finding the Fourth Proportional to 393,025.64, 589,663.06 and 140,300.71

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Solution

The fourth proportional to 393,025.64, 589,663.06 and 140,300.71 is: 210,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,025.64 : 589,663.06 = 140,300.71 : x
  2. Step 2: Convert to fraction form
    393,025.64/589,663.06 = 140,300.71/x
  3. Step 3: Cross multiply
    393,025.64x = 589,663.06 × 140,300.71
  4. Step 4: Simplify right side
    393,025.64x = 82,730,144,153.86
  5. Step 5: Solve for x
    x = 82,730,144,153.86/393,025.64
  6. Step 6: Final answer
    x = 210,495.54

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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.