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Finding the Fourth Proportional to 388,194.40, 535,707.12 and 218,428.52

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Solution

The fourth proportional to 388,194.40, 535,707.12 and 218,428.52 is: 301,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,194.40 : 535,707.12 = 218,428.52 : x
  2. Step 2: Convert to fraction form
    388,194.40/535,707.12 = 218,428.52/x
  3. Step 3: Cross multiply
    388,194.40x = 535,707.12 × 218,428.52
  4. Step 4: Simplify right side
    388,194.40x = 117,013,713,375.06
  5. Step 5: Solve for x
    x = 117,013,713,375.06/388,194.40
  6. Step 6: Final answer
    x = 301,430.71

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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.