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Finding the Fourth Proportional to 458,584.32, 687,062.56 and 191,756.64

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Solution

The fourth proportional to 458,584.32, 687,062.56 and 191,756.64 is: 287,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,584.32 : 687,062.56 = 191,756.64 : x
  2. Step 2: Convert to fraction form
    458,584.32/687,062.56 = 191,756.64/x
  3. Step 3: Cross multiply
    458,584.32x = 687,062.56 × 191,756.64
  4. Step 4: Simplify right side
    458,584.32x = 131,748,807,975.40
  5. Step 5: Solve for x
    x = 131,748,807,975.40/458,584.32
  6. Step 6: Final answer
    x = 287,294.62

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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.