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Finding the Fourth Proportional to 459,940.80, 689,943.60 and 260,356.80

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Solution

The fourth proportional to 459,940.80, 689,943.60 and 260,356.80 is: 390,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,940.80 : 689,943.60 = 260,356.80 : x
  2. Step 2: Convert to fraction form
    459,940.80/689,943.60 = 260,356.80/x
  3. Step 3: Cross multiply
    459,940.80x = 689,943.60 × 260,356.80
  4. Step 4: Simplify right side
    459,940.80x = 179,631,507,876.48
  5. Step 5: Solve for x
    x = 179,631,507,876.48/459,940.80
  6. Step 6: Final answer
    x = 390,553.54

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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.