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Finding the Fourth Proportional to 286,659.91, 395,580.60 and 157,597.45

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Solution

The fourth proportional to 286,659.91, 395,580.60 and 157,597.45 is: 217,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,659.91 : 395,580.60 = 157,597.45 : x
  2. Step 2: Convert to fraction form
    286,659.91/395,580.60 = 157,597.45/x
  3. Step 3: Cross multiply
    286,659.91x = 395,580.60 × 157,597.45
  4. Step 4: Simplify right side
    286,659.91x = 62,342,493,829.47
  5. Step 5: Solve for x
    x = 62,342,493,829.47/286,659.91
  6. Step 6: Final answer
    x = 217,478.94

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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.