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Finding the Fourth Proportional to 289,773.90, 434,688.54 and 90,040.65

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Solution

The fourth proportional to 289,773.90, 434,688.54 and 90,040.65 is: 135,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,773.90 : 434,688.54 = 90,040.65 : x
  2. Step 2: Convert to fraction form
    289,773.90/434,688.54 = 90,040.65/x
  3. Step 3: Cross multiply
    289,773.90x = 434,688.54 × 90,040.65
  4. Step 4: Simplify right side
    289,773.90x = 39,139,638,689.15
  5. Step 5: Solve for x
    x = 39,139,638,689.15/289,773.90
  6. Step 6: Final answer
    x = 135,069.58

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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.