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Finding the Fourth Proportional to 289,322.10, 433,983.15 and 102,309.30

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Solution

The fourth proportional to 289,322.10, 433,983.15 and 102,309.30 is: 153,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,322.10 : 433,983.15 = 102,309.30 : x
  2. Step 2: Convert to fraction form
    289,322.10/433,983.15 = 102,309.30/x
  3. Step 3: Cross multiply
    289,322.10x = 433,983.15 × 102,309.30
  4. Step 4: Simplify right side
    289,322.10x = 44,400,512,288.30
  5. Step 5: Solve for x
    x = 44,400,512,288.30/289,322.10
  6. Step 6: Final answer
    x = 153,463.95

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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.