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Finding the Fourth Proportional to 459,617.51, 689,426.46 and 144,099.02

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Solution

The fourth proportional to 459,617.51, 689,426.46 and 144,099.02 is: 216,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,617.51 : 689,426.46 = 144,099.02 : x
  2. Step 2: Convert to fraction form
    459,617.51/689,426.46 = 144,099.02/x
  3. Step 3: Cross multiply
    459,617.51x = 689,426.46 × 144,099.02
  4. Step 4: Simplify right side
    459,617.51x = 99,345,673,800.94
  5. Step 5: Solve for x
    x = 99,345,673,800.94/459,617.51
  6. Step 6: Final answer
    x = 216,148.59

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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.