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Finding the Fourth Proportional to 289,079.64, 433,511.70 and 99,487.02

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Solution

The fourth proportional to 289,079.64, 433,511.70 and 99,487.02 is: 149,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,079.64 : 433,511.70 = 99,487.02 : x
  2. Step 2: Convert to fraction form
    289,079.64/433,511.70 = 99,487.02/x
  3. Step 3: Cross multiply
    289,079.64x = 433,511.70 × 99,487.02
  4. Step 4: Simplify right side
    289,079.64x = 43,128,787,168.13
  5. Step 5: Solve for x
    x = 43,128,787,168.13/289,079.64
  6. Step 6: Final answer
    x = 149,193.44

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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.