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Finding the Fourth Proportional to 346,854.68, 478,720.38 and 201,705.44

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Solution

The fourth proportional to 346,854.68, 478,720.38 and 201,705.44 is: 278,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,854.68 : 478,720.38 = 201,705.44 : x
  2. Step 2: Convert to fraction form
    346,854.68/478,720.38 = 201,705.44/x
  3. Step 3: Cross multiply
    346,854.68x = 478,720.38 × 201,705.44
  4. Step 4: Simplify right side
    346,854.68x = 96,560,504,884.87
  5. Step 5: Solve for x
    x = 96,560,504,884.87/346,854.68
  6. Step 6: Final answer
    x = 278,388.93

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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.