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Finding the Fourth Proportional to 312,542.06, 431,308 and 169,302.06

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Solution

The fourth proportional to 312,542.06, 431,308 and 169,302.06 is: 233,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,542.06 : 431,308 = 169,302.06 : x
  2. Step 2: Convert to fraction form
    312,542.06/431,308 = 169,302.06/x
  3. Step 3: Cross multiply
    312,542.06x = 431,308 × 169,302.06
  4. Step 4: Simplify right side
    312,542.06x = 73,021,332,894.48
  5. Step 5: Solve for x
    x = 73,021,332,894.48/312,542.06
  6. Step 6: Final answer
    x = 233,636.82

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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.