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Finding the Fourth Proportional to 409,704.08, 614,681.40 and 210,165.44

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Solution

The fourth proportional to 409,704.08, 614,681.40 and 210,165.44 is: 315,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,704.08 : 614,681.40 = 210,165.44 : x
  2. Step 2: Convert to fraction form
    409,704.08/614,681.40 = 210,165.44/x
  3. Step 3: Cross multiply
    409,704.08x = 614,681.40 × 210,165.44
  4. Step 4: Simplify right side
    409,704.08x = 129,184,786,890.82
  5. Step 5: Solve for x
    x = 129,184,786,890.82/409,704.08
  6. Step 6: Final answer
    x = 315,312.42

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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.