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Finding the Fourth Proportional to 313,486, 432,743.04 and 211,649.36

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Solution

The fourth proportional to 313,486, 432,743.04 and 211,649.36 is: 292,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,486 : 432,743.04 = 211,649.36 : x
  2. Step 2: Convert to fraction form
    313,486/432,743.04 = 211,649.36/x
  3. Step 3: Cross multiply
    313,486x = 432,743.04 × 211,649.36
  4. Step 4: Simplify right side
    313,486x = 91,589,787,460.45
  5. Step 5: Solve for x
    x = 91,589,787,460.45/313,486
  6. Step 6: Final answer
    x = 292,165.48

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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.