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Finding the Fourth Proportional to 289,155.48, 433,762.62 and 99,591.18

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Solution

The fourth proportional to 289,155.48, 433,762.62 and 99,591.18 is: 149,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,155.48 : 433,762.62 = 99,591.18 : x
  2. Step 2: Convert to fraction form
    289,155.48/433,762.62 = 99,591.18/x
  3. Step 3: Cross multiply
    289,155.48x = 433,762.62 × 99,591.18
  4. Step 4: Simplify right side
    289,155.48x = 43,198,931,165.69
  5. Step 5: Solve for x
    x = 43,198,931,165.69/289,155.48
  6. Step 6: Final answer
    x = 149,396.90

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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.