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Finding the Fourth Proportional to 309,130.80, 463,321.80 and 131,264.40

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Solution

The fourth proportional to 309,130.80, 463,321.80 and 131,264.40 is: 196,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,130.80 : 463,321.80 = 131,264.40 : x
  2. Step 2: Convert to fraction form
    309,130.80/463,321.80 = 131,264.40/x
  3. Step 3: Cross multiply
    309,130.80x = 463,321.80 × 131,264.40
  4. Step 4: Simplify right side
    309,130.80x = 60,817,658,083.92
  5. Step 5: Solve for x
    x = 60,817,658,083.92/309,130.80
  6. Step 6: Final answer
    x = 196,737.62

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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.