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Finding the Fourth Proportional to 348,338.36, 480,751.40 and 205,111.68

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Solution

The fourth proportional to 348,338.36, 480,751.40 and 205,111.68 is: 283,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,338.36 : 480,751.40 = 205,111.68 : x
  2. Step 2: Convert to fraction form
    348,338.36/480,751.40 = 205,111.68/x
  3. Step 3: Cross multiply
    348,338.36x = 480,751.40 × 205,111.68
  4. Step 4: Simplify right side
    348,338.36x = 98,607,727,316.35
  5. Step 5: Solve for x
    x = 98,607,727,316.35/348,338.36
  6. Step 6: Final answer
    x = 283,080.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.