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Finding the Fourth Proportional to 209,980.45, 289,774.38 and 114,488.74

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Solution

The fourth proportional to 209,980.45, 289,774.38 and 114,488.74 is: 157,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,980.45 : 289,774.38 = 114,488.74 : x
  2. Step 2: Convert to fraction form
    209,980.45/289,774.38 = 114,488.74/x
  3. Step 3: Cross multiply
    209,980.45x = 289,774.38 × 114,488.74
  4. Step 4: Simplify right side
    209,980.45x = 33,175,903,650.48
  5. Step 5: Solve for x
    x = 33,175,903,650.48/209,980.45
  6. Step 6: Final answer
    x = 157,995.20

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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.