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Finding the Fourth Proportional to 309,216.64, 463,999.92 and 131,705.14

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Solution

The fourth proportional to 309,216.64, 463,999.92 and 131,705.14 is: 197,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,216.64 : 463,999.92 = 131,705.14 : x
  2. Step 2: Convert to fraction form
    309,216.64/463,999.92 = 131,705.14/x
  3. Step 3: Cross multiply
    309,216.64x = 463,999.92 × 131,705.14
  4. Step 4: Simplify right side
    309,216.64x = 61,111,174,423.59
  5. Step 5: Solve for x
    x = 61,111,174,423.59/309,216.64
  6. Step 6: Final answer
    x = 197,632.23

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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.