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Finding the Fourth Proportional to 289,916.64, 434,518.02 and 138,193.50

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Solution

The fourth proportional to 289,916.64, 434,518.02 and 138,193.50 is: 207,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,916.64 : 434,518.02 = 138,193.50 : x
  2. Step 2: Convert to fraction form
    289,916.64/434,518.02 = 138,193.50/x
  3. Step 3: Cross multiply
    289,916.64x = 434,518.02 × 138,193.50
  4. Step 4: Simplify right side
    289,916.64x = 60,047,565,996.87
  5. Step 5: Solve for x
    x = 60,047,565,996.87/289,916.64
  6. Step 6: Final answer
    x = 207,120.11

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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.