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Finding the Fourth Proportional to 209,380.98, 289,064.10 and 160,230.24

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Solution

The fourth proportional to 209,380.98, 289,064.10 and 160,230.24 is: 221,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,380.98 : 289,064.10 = 160,230.24 : x
  2. Step 2: Convert to fraction form
    209,380.98/289,064.10 = 160,230.24/x
  3. Step 3: Cross multiply
    209,380.98x = 289,064.10 × 160,230.24
  4. Step 4: Simplify right side
    209,380.98x = 46,316,810,118.38
  5. Step 5: Solve for x
    x = 46,316,810,118.38/209,380.98
  6. Step 6: Final answer
    x = 221,208.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.