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Finding the Fourth Proportional to 279,421.76, 419,152.08 and 92,564.48

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Solution

The fourth proportional to 279,421.76, 419,152.08 and 92,564.48 is: 138,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,421.76 : 419,152.08 = 92,564.48 : x
  2. Step 2: Convert to fraction form
    279,421.76/419,152.08 = 92,564.48/x
  3. Step 3: Cross multiply
    279,421.76x = 419,152.08 × 92,564.48
  4. Step 4: Simplify right side
    279,421.76x = 38,798,594,326.12
  5. Step 5: Solve for x
    x = 38,798,594,326.12/279,421.76
  6. Step 6: Final answer
    x = 138,853.16

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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.