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Finding the Fourth Proportional to 289,503.45, 434,343.06 and 139,715.82

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Solution

The fourth proportional to 289,503.45, 434,343.06 and 139,715.82 is: 209,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,503.45 : 434,343.06 = 139,715.82 : x
  2. Step 2: Convert to fraction form
    289,503.45/434,343.06 = 139,715.82/x
  3. Step 3: Cross multiply
    289,503.45x = 434,343.06 × 139,715.82
  4. Step 4: Simplify right side
    289,503.45x = 60,684,596,789.21
  5. Step 5: Solve for x
    x = 60,684,596,789.21/289,503.45
  6. Step 6: Final answer
    x = 209,616.14

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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.