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Finding the Fourth Proportional to 286,708.68, 395,668.13 and 157,656.98

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Solution

The fourth proportional to 286,708.68, 395,668.13 and 157,656.98 is: 217,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,708.68 : 395,668.13 = 157,656.98 : x
  2. Step 2: Convert to fraction form
    286,708.68/395,668.13 = 157,656.98/x
  3. Step 3: Cross multiply
    286,708.68x = 395,668.13 × 157,656.98
  4. Step 4: Simplify right side
    286,708.68x = 62,379,842,658.93
  5. Step 5: Solve for x
    x = 62,379,842,658.93/286,708.68
  6. Step 6: Final answer
    x = 217,572.22

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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.