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Finding the Fourth Proportional to 459,393.78, 689,230.38 and 234,911.82

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Solution

The fourth proportional to 459,393.78, 689,230.38 and 234,911.82 is: 352,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,393.78 : 689,230.38 = 234,911.82 : x
  2. Step 2: Convert to fraction form
    459,393.78/689,230.38 = 234,911.82/x
  3. Step 3: Cross multiply
    459,393.78x = 689,230.38 × 234,911.82
  4. Step 4: Simplify right side
    459,393.78x = 161,908,362,965.09
  5. Step 5: Solve for x
    x = 161,908,362,965.09/459,393.78
  6. Step 6: Final answer
    x = 352,439.17

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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.