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Finding the Fourth Proportional to 201,698.60, 302,547.90 and 169,221.65

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Solution

The fourth proportional to 201,698.60, 302,547.90 and 169,221.65 is: 253,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.60 : 302,547.90 = 169,221.65 : x
  2. Step 2: Convert to fraction form
    201,698.60/302,547.90 = 169,221.65/x
  3. Step 3: Cross multiply
    201,698.60x = 302,547.90 × 169,221.65
  4. Step 4: Simplify right side
    201,698.60x = 51,197,654,842.04
  5. Step 5: Solve for x
    x = 51,197,654,842.04/201,698.60
  6. Step 6: Final answer
    x = 253,832.48

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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.