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Finding the Fourth Proportional to 459,797.52, 634,608.12 and 287,795.64

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Solution

The fourth proportional to 459,797.52, 634,608.12 and 287,795.64 is: 397,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,797.52 : 634,608.12 = 287,795.64 : x
  2. Step 2: Convert to fraction form
    459,797.52/634,608.12 = 287,795.64/x
  3. Step 3: Cross multiply
    459,797.52x = 634,608.12 × 287,795.64
  4. Step 4: Simplify right side
    459,797.52x = 182,637,450,044.60
  5. Step 5: Solve for x
    x = 182,637,450,044.60/459,797.52
  6. Step 6: Final answer
    x = 397,212.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.