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Finding the Fourth Proportional to 397,363.80, 595,656.90 and 160,390.20

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Solution

The fourth proportional to 397,363.80, 595,656.90 and 160,390.20 is: 240,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,363.80 : 595,656.90 = 160,390.20 : x
  2. Step 2: Convert to fraction form
    397,363.80/595,656.90 = 160,390.20/x
  3. Step 3: Cross multiply
    397,363.80x = 595,656.90 × 160,390.20
  4. Step 4: Simplify right side
    397,363.80x = 95,537,529,322.38
  5. Step 5: Solve for x
    x = 95,537,529,322.38/397,363.80
  6. Step 6: Final answer
    x = 240,428.37

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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.