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Finding the Fourth Proportional to 313,485.68, 432,742.59 and 211,649.01

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Solution

The fourth proportional to 313,485.68, 432,742.59 and 211,649.01 is: 292,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,485.68 : 432,742.59 = 211,649.01 : x
  2. Step 2: Convert to fraction form
    313,485.68/432,742.59 = 211,649.01/x
  3. Step 3: Cross multiply
    313,485.68x = 432,742.59 × 211,649.01
  4. Step 4: Simplify right side
    313,485.68x = 91,589,540,758.34
  5. Step 5: Solve for x
    x = 91,589,540,758.34/313,485.68
  6. Step 6: Final answer
    x = 292,165.00

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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.