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Finding the Fourth Proportional to 458,448, 687,596.48 and 121,509.60

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Solution

The fourth proportional to 458,448, 687,596.48 and 121,509.60 is: 182,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,448 : 687,596.48 = 121,509.60 : x
  2. Step 2: Convert to fraction form
    458,448/687,596.48 = 121,509.60/x
  3. Step 3: Cross multiply
    458,448x = 687,596.48 × 121,509.60
  4. Step 4: Simplify right side
    458,448x = 83,549,573,246.21
  5. Step 5: Solve for x
    x = 83,549,573,246.21/458,448
  6. Step 6: Final answer
    x = 182,244.38

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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.