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Finding the Fourth Proportional to 270,928.89, 406,655.76 and 130,785.93

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Solution

The fourth proportional to 270,928.89, 406,655.76 and 130,785.93 is: 196,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,928.89 : 406,655.76 = 130,785.93 : x
  2. Step 2: Convert to fraction form
    270,928.89/406,655.76 = 130,785.93/x
  3. Step 3: Cross multiply
    270,928.89x = 406,655.76 × 130,785.93
  4. Step 4: Simplify right side
    270,928.89x = 53,184,851,761.46
  5. Step 5: Solve for x
    x = 53,184,851,761.46/270,928.89
  6. Step 6: Final answer
    x = 196,305.58

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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.