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Finding the Fourth Proportional to 213,456.48, 320,184.96 and 55,684.80

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Solution

The fourth proportional to 213,456.48, 320,184.96 and 55,684.80 is: 83,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,456.48 : 320,184.96 = 55,684.80 : x
  2. Step 2: Convert to fraction form
    213,456.48/320,184.96 = 55,684.80/x
  3. Step 3: Cross multiply
    213,456.48x = 320,184.96 × 55,684.80
  4. Step 4: Simplify right side
    213,456.48x = 17,829,435,460.61
  5. Step 5: Solve for x
    x = 17,829,435,460.61/213,456.48
  6. Step 6: Final answer
    x = 83,527.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.