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Finding the Fourth Proportional to 340,031.70, 510,047.55 and 204,729.30

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Solution

The fourth proportional to 340,031.70, 510,047.55 and 204,729.30 is: 307,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,031.70 : 510,047.55 = 204,729.30 : x
  2. Step 2: Convert to fraction form
    340,031.70/510,047.55 = 204,729.30/x
  3. Step 3: Cross multiply
    340,031.70x = 510,047.55 × 204,729.30
  4. Step 4: Simplify right side
    340,031.70x = 104,421,677,878.22
  5. Step 5: Solve for x
    x = 104,421,677,878.22/340,031.70
  6. Step 6: Final answer
    x = 307,093.95

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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.