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Finding the Fourth Proportional to 286,698.07, 395,644.81 and 157,644.86

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Solution

The fourth proportional to 286,698.07, 395,644.81 and 157,644.86 is: 217,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,698.07 : 395,644.81 = 157,644.86 : x
  2. Step 2: Convert to fraction form
    286,698.07/395,644.81 = 157,644.86/x
  3. Step 3: Cross multiply
    286,698.07x = 395,644.81 × 157,644.86
  4. Step 4: Simplify right side
    286,698.07x = 62,371,371,728.46
  5. Step 5: Solve for x
    x = 62,371,371,728.46/286,698.07
  6. Step 6: Final answer
    x = 217,550.72

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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.