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Finding the Fourth Proportional to 447,640.32, 617,647.86 and 266,316.81

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Solution

The fourth proportional to 447,640.32, 617,647.86 and 266,316.81 is: 367,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,640.32 : 617,647.86 = 266,316.81 : x
  2. Step 2: Convert to fraction form
    447,640.32/617,647.86 = 266,316.81/x
  3. Step 3: Cross multiply
    447,640.32x = 617,647.86 × 266,316.81
  4. Step 4: Simplify right side
    447,640.32x = 164,490,007,778.53
  5. Step 5: Solve for x
    x = 164,490,007,778.53/447,640.32
  6. Step 6: Final answer
    x = 367,460.21

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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.