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Finding the Fourth Proportional to 309,187.74, 465,887.64 and 254,258.22

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Solution

The fourth proportional to 309,187.74, 465,887.64 and 254,258.22 is: 383,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,187.74 : 465,887.64 = 254,258.22 : x
  2. Step 2: Convert to fraction form
    309,187.74/465,887.64 = 254,258.22/x
  3. Step 3: Cross multiply
    309,187.74x = 465,887.64 × 254,258.22
  4. Step 4: Simplify right side
    309,187.74x = 118,455,762,066.40
  5. Step 5: Solve for x
    x = 118,455,762,066.40/309,187.74
  6. Step 6: Final answer
    x = 383,119.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.