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Finding the Fourth Proportional to 413,290.34, 620,172.03 and 160,538.12

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Solution

The fourth proportional to 413,290.34, 620,172.03 and 160,538.12 is: 240,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,290.34 : 620,172.03 = 160,538.12 : x
  2. Step 2: Convert to fraction form
    413,290.34/620,172.03 = 160,538.12/x
  3. Step 3: Cross multiply
    413,290.34x = 620,172.03 × 160,538.12
  4. Step 4: Simplify right side
    413,290.34x = 99,561,251,772.78
  5. Step 5: Solve for x
    x = 99,561,251,772.78/413,290.34
  6. Step 6: Final answer
    x = 240,899.05

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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.