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Finding the Fourth Proportional to 459,891.10, 689,865.83 and 144,360.46

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Solution

The fourth proportional to 459,891.10, 689,865.83 and 144,360.46 is: 216,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,891.10 : 689,865.83 = 144,360.46 : x
  2. Step 2: Convert to fraction form
    459,891.10/689,865.83 = 144,360.46/x
  3. Step 3: Cross multiply
    459,891.10x = 689,865.83 × 144,360.46
  4. Step 4: Simplify right side
    459,891.10x = 99,589,349,238.96
  5. Step 5: Solve for x
    x = 99,589,349,238.96/459,891.10
  6. Step 6: Final answer
    x = 216,549.85

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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.