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Finding the Fourth Proportional to 437,322.88, 655,421.10 and 212,247.74

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Solution

The fourth proportional to 437,322.88, 655,421.10 and 212,247.74 is: 318,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,322.88 : 655,421.10 = 212,247.74 : x
  2. Step 2: Convert to fraction form
    437,322.88/655,421.10 = 212,247.74/x
  3. Step 3: Cross multiply
    437,322.88x = 655,421.10 × 212,247.74
  4. Step 4: Simplify right side
    437,322.88x = 139,111,647,223.31
  5. Step 5: Solve for x
    x = 139,111,647,223.31/437,322.88
  6. Step 6: Final answer
    x = 318,098.26

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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.