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Finding the Fourth Proportional to 459,360.37, 689,132.52 and 257,243.90

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Solution

The fourth proportional to 459,360.37, 689,132.52 and 257,243.90 is: 385,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,360.37 : 689,132.52 = 257,243.90 : x
  2. Step 2: Convert to fraction form
    459,360.37/689,132.52 = 257,243.90/x
  3. Step 3: Cross multiply
    459,360.37x = 689,132.52 × 257,243.90
  4. Step 4: Simplify right side
    459,360.37x = 177,275,137,061.63
  5. Step 5: Solve for x
    x = 177,275,137,061.63/459,360.37
  6. Step 6: Final answer
    x = 385,917.36

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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.