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Finding the Fourth Proportional to 289,294.88, 434,222.91 and 139,640.63

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Solution

The fourth proportional to 289,294.88, 434,222.91 and 139,640.63 is: 209,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294.88 : 434,222.91 = 139,640.63 : x
  2. Step 2: Convert to fraction form
    289,294.88/434,222.91 = 139,640.63/x
  3. Step 3: Cross multiply
    289,294.88x = 434,222.91 × 139,640.63
  4. Step 4: Simplify right side
    289,294.88x = 60,635,158,541.72
  5. Step 5: Solve for x
    x = 60,635,158,541.72/289,294.88
  6. Step 6: Final answer
    x = 209,596.38

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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.