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Finding the Fourth Proportional to 415,937.40, 623,906.10 and 409,716.60

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Solution

The fourth proportional to 415,937.40, 623,906.10 and 409,716.60 is: 614,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,937.40 : 623,906.10 = 409,716.60 : x
  2. Step 2: Convert to fraction form
    415,937.40/623,906.10 = 409,716.60/x
  3. Step 3: Cross multiply
    415,937.40x = 623,906.10 × 409,716.60
  4. Step 4: Simplify right side
    415,937.40x = 255,624,686,011.26
  5. Step 5: Solve for x
    x = 255,624,686,011.26/415,937.40
  6. Step 6: Final answer
    x = 614,574.90

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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.