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Finding the Fourth Proportional to 460,945, 636,104.10 and 259,748.20

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Solution

The fourth proportional to 460,945, 636,104.10 and 259,748.20 is: 358,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,945 : 636,104.10 = 259,748.20 : x
  2. Step 2: Convert to fraction form
    460,945/636,104.10 = 259,748.20/x
  3. Step 3: Cross multiply
    460,945x = 636,104.10 × 259,748.20
  4. Step 4: Simplify right side
    460,945x = 165,226,894,987.62
  5. Step 5: Solve for x
    x = 165,226,894,987.62/460,945
  6. Step 6: Final answer
    x = 358,452.52

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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.