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Finding the Fourth Proportional to 289,663.71, 434,615.44 and 156,387.21

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Solution

The fourth proportional to 289,663.71, 434,615.44 and 156,387.21 is: 234,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,663.71 : 434,615.44 = 156,387.21 : x
  2. Step 2: Convert to fraction form
    289,663.71/434,615.44 = 156,387.21/x
  3. Step 3: Cross multiply
    289,663.71x = 434,615.44 × 156,387.21
  4. Step 4: Simplify right side
    289,663.71x = 67,968,296,084.52
  5. Step 5: Solve for x
    x = 67,968,296,084.52/289,663.71
  6. Step 6: Final answer
    x = 234,645.53

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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.