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Finding the Fourth Proportional to 309,940.40, 464,910.30 and 85,302.12

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Solution

The fourth proportional to 309,940.40, 464,910.30 and 85,302.12 is: 127,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,940.40 : 464,910.30 = 85,302.12 : x
  2. Step 2: Convert to fraction form
    309,940.40/464,910.30 = 85,302.12/x
  3. Step 3: Cross multiply
    309,940.40x = 464,910.30 × 85,302.12
  4. Step 4: Simplify right side
    309,940.40x = 39,657,834,199.84
  5. Step 5: Solve for x
    x = 39,657,834,199.84/309,940.40
  6. Step 6: Final answer
    x = 127,953.10

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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.