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Finding the Fourth Proportional to 360,508.50, 497,530.89 and 209,634.66

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Solution

The fourth proportional to 360,508.50, 497,530.89 and 209,634.66 is: 289,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,508.50 : 497,530.89 = 209,634.66 : x
  2. Step 2: Convert to fraction form
    360,508.50/497,530.89 = 209,634.66/x
  3. Step 3: Cross multiply
    360,508.50x = 497,530.89 × 209,634.66
  4. Step 4: Simplify right side
    360,508.50x = 104,299,718,964.65
  5. Step 5: Solve for x
    x = 104,299,718,964.65/360,508.50
  6. Step 6: Final answer
    x = 289,312.79

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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.