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Finding the Fourth Proportional to 309,182.84, 463,170.26 and 213,102.98

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Solution

The fourth proportional to 309,182.84, 463,170.26 and 213,102.98 is: 319,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,182.84 : 463,170.26 = 213,102.98 : x
  2. Step 2: Convert to fraction form
    309,182.84/463,170.26 = 213,102.98/x
  3. Step 3: Cross multiply
    309,182.84x = 463,170.26 × 213,102.98
  4. Step 4: Simplify right side
    309,182.84x = 98,702,959,272.01
  5. Step 5: Solve for x
    x = 98,702,959,272.01/309,182.84
  6. Step 6: Final answer
    x = 319,238.16

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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.