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Finding the Fourth Proportional to 338,475.16, 507,763.99 and 113,781.41

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Solution

The fourth proportional to 338,475.16, 507,763.99 and 113,781.41 is: 170,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,475.16 : 507,763.99 = 113,781.41 : x
  2. Step 2: Convert to fraction form
    338,475.16/507,763.99 = 113,781.41/x
  3. Step 3: Cross multiply
    338,475.16x = 507,763.99 × 113,781.41
  4. Step 4: Simplify right side
    338,475.16x = 57,774,102,236.95
  5. Step 5: Solve for x
    x = 57,774,102,236.95/338,475.16
  6. Step 6: Final answer
    x = 170,689.34

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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.