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Finding the Fourth Proportional to 209,513.58, 289,467 and 146,134.32

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Solution

The fourth proportional to 209,513.58, 289,467 and 146,134.32 is: 201,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,513.58 : 289,467 = 146,134.32 : x
  2. Step 2: Convert to fraction form
    209,513.58/289,467 = 146,134.32/x
  3. Step 3: Cross multiply
    209,513.58x = 289,467 × 146,134.32
  4. Step 4: Simplify right side
    209,513.58x = 42,301,063,207.44
  5. Step 5: Solve for x
    x = 42,301,063,207.44/209,513.58
  6. Step 6: Final answer
    x = 201,901.30

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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.