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Finding the Fourth Proportional to 260,412.37, 390,649.80 and 91,897.90

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Solution

The fourth proportional to 260,412.37, 390,649.80 and 91,897.90 is: 137,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,412.37 : 390,649.80 = 91,897.90 : x
  2. Step 2: Convert to fraction form
    260,412.37/390,649.80 = 91,897.90/x
  3. Step 3: Cross multiply
    260,412.37x = 390,649.80 × 91,897.90
  4. Step 4: Simplify right side
    260,412.37x = 35,899,896,255.42
  5. Step 5: Solve for x
    x = 35,899,896,255.42/260,412.37
  6. Step 6: Final answer
    x = 137,857.88

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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.