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Finding the Fourth Proportional to 338,649.34, 507,973.98 and 113,990.92

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Solution

The fourth proportional to 338,649.34, 507,973.98 and 113,990.92 is: 170,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,649.34 : 507,973.98 = 113,990.92 : x
  2. Step 2: Convert to fraction form
    338,649.34/507,973.98 = 113,990.92/x
  3. Step 3: Cross multiply
    338,649.34x = 507,973.98 × 113,990.92
  4. Step 4: Simplify right side
    338,649.34x = 57,904,421,316.26
  5. Step 5: Solve for x
    x = 57,904,421,316.26/338,649.34
  6. Step 6: Final answer
    x = 170,986.37

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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.