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Finding the Fourth Proportional to 340,814.16, 511,250.04 and 91,509.84

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Solution

The fourth proportional to 340,814.16, 511,250.04 and 91,509.84 is: 137,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,814.16 : 511,250.04 = 91,509.84 : x
  2. Step 2: Convert to fraction form
    340,814.16/511,250.04 = 91,509.84/x
  3. Step 3: Cross multiply
    340,814.16x = 511,250.04 × 91,509.84
  4. Step 4: Simplify right side
    340,814.16x = 46,784,409,360.39
  5. Step 5: Solve for x
    x = 46,784,409,360.39/340,814.16
  6. Step 6: Final answer
    x = 137,272.49

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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.