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Finding the Fourth Proportional to 459,395.98, 689,039.28 and 122,461.90

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Solution

The fourth proportional to 459,395.98, 689,039.28 and 122,461.90 is: 183,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395.98 : 689,039.28 = 122,461.90 : x
  2. Step 2: Convert to fraction form
    459,395.98/689,039.28 = 122,461.90/x
  3. Step 3: Cross multiply
    459,395.98x = 689,039.28 × 122,461.90
  4. Step 4: Simplify right side
    459,395.98x = 84,381,059,403.43
  5. Step 5: Solve for x
    x = 84,381,059,403.43/459,395.98
  6. Step 6: Final answer
    x = 183,678.27

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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.