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Finding the Fourth Proportional to 407,119.40, 610,679.10 and 365,785.10

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Solution

The fourth proportional to 407,119.40, 610,679.10 and 365,785.10 is: 548,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,119.40 : 610,679.10 = 365,785.10 : x
  2. Step 2: Convert to fraction form
    407,119.40/610,679.10 = 365,785.10/x
  3. Step 3: Cross multiply
    407,119.40x = 610,679.10 × 365,785.10
  4. Step 4: Simplify right side
    407,119.40x = 223,377,315,661.41
  5. Step 5: Solve for x
    x = 223,377,315,661.41/407,119.40
  6. Step 6: Final answer
    x = 548,677.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.