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Finding the Fourth Proportional to 257,263.76, 355,036.65 and 155,287.60

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Solution

The fourth proportional to 257,263.76, 355,036.65 and 155,287.60 is: 214,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,263.76 : 355,036.65 = 155,287.60 : x
  2. Step 2: Convert to fraction form
    257,263.76/355,036.65 = 155,287.60/x
  3. Step 3: Cross multiply
    257,263.76x = 355,036.65 × 155,287.60
  4. Step 4: Simplify right side
    257,263.76x = 55,132,789,290.54
  5. Step 5: Solve for x
    x = 55,132,789,290.54/257,263.76
  6. Step 6: Final answer
    x = 214,304.53

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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.