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Finding the Fourth Proportional to 289,774.10, 434,661.15 and 183,485.90

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Solution

The fourth proportional to 289,774.10, 434,661.15 and 183,485.90 is: 275,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,774.10 : 434,661.15 = 183,485.90 : x
  2. Step 2: Convert to fraction form
    289,774.10/434,661.15 = 183,485.90/x
  3. Step 3: Cross multiply
    289,774.10x = 434,661.15 × 183,485.90
  4. Step 4: Simplify right side
    289,774.10x = 79,754,192,302.79
  5. Step 5: Solve for x
    x = 79,754,192,302.79/289,774.10
  6. Step 6: Final answer
    x = 275,228.85

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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.