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Finding the Fourth Proportional to 613,670.97, 846,429.71 and 409,619.01

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Solution

The fourth proportional to 613,670.97, 846,429.71 and 409,619.01 is: 564,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,670.97 : 846,429.71 = 409,619.01 : x
  2. Step 2: Convert to fraction form
    613,670.97/846,429.71 = 409,619.01/x
  3. Step 3: Cross multiply
    613,670.97x = 846,429.71 × 409,619.01
  4. Step 4: Simplify right side
    613,670.97x = 346,713,697,796.69
  5. Step 5: Solve for x
    x = 346,713,697,796.69/613,670.97
  6. Step 6: Final answer
    x = 564,983.05

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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.