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Finding the Fourth Proportional to 289,732.60, 434,598.90 and 102,719.80

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Solution

The fourth proportional to 289,732.60, 434,598.90 and 102,719.80 is: 154,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,732.60 : 434,598.90 = 102,719.80 : x
  2. Step 2: Convert to fraction form
    289,732.60/434,598.90 = 102,719.80/x
  3. Step 3: Cross multiply
    289,732.60x = 434,598.90 × 102,719.80
  4. Step 4: Simplify right side
    289,732.60x = 44,641,912,088.22
  5. Step 5: Solve for x
    x = 44,641,912,088.22/289,732.60
  6. Step 6: Final answer
    x = 154,079.70

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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.