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Finding the Fourth Proportional to 613,674.60, 846,434.70 and 409,622.64

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Solution

The fourth proportional to 613,674.60, 846,434.70 and 409,622.64 is: 564,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,674.60 : 846,434.70 = 409,622.64 : x
  2. Step 2: Convert to fraction form
    613,674.60/846,434.70 = 409,622.64/x
  3. Step 3: Cross multiply
    613,674.60x = 846,434.70 × 409,622.64
  4. Step 4: Simplify right side
    613,674.60x = 346,718,816,401.61
  5. Step 5: Solve for x
    x = 346,718,816,401.61/613,674.60
  6. Step 6: Final answer
    x = 564,988.05

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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.