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Finding the Fourth Proportional to 312,536.69, 431,302.70 and 169,296.73

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Solution

The fourth proportional to 312,536.69, 431,302.70 and 169,296.73 is: 233,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,536.69 : 431,302.70 = 169,296.73 : x
  2. Step 2: Convert to fraction form
    312,536.69/431,302.70 = 169,296.73/x
  3. Step 3: Cross multiply
    312,536.69x = 431,302.70 × 169,296.73
  4. Step 4: Simplify right side
    312,536.69x = 73,018,136,095.16
  5. Step 5: Solve for x
    x = 73,018,136,095.16/312,536.69
  6. Step 6: Final answer
    x = 233,630.61

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1.5x scale

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.