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Finding the Fourth Proportional to 289,810.20, 434,715.30 and 205,829.40

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Solution

The fourth proportional to 289,810.20, 434,715.30 and 205,829.40 is: 308,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,810.20 : 434,715.30 = 205,829.40 : x
  2. Step 2: Convert to fraction form
    289,810.20/434,715.30 = 205,829.40/x
  3. Step 3: Cross multiply
    289,810.20x = 434,715.30 × 205,829.40
  4. Step 4: Simplify right side
    289,810.20x = 89,477,189,369.82
  5. Step 5: Solve for x
    x = 89,477,189,369.82/289,810.20
  6. Step 6: Final answer
    x = 308,744.10

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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.