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Finding the Fourth Proportional to 617,061.40, 926,448.66 and 317,755.80

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Solution

The fourth proportional to 617,061.40, 926,448.66 and 317,755.80 is: 477,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,061.40 : 926,448.66 = 317,755.80 : x
  2. Step 2: Convert to fraction form
    617,061.40/926,448.66 = 317,755.80/x
  3. Step 3: Cross multiply
    617,061.40x = 926,448.66 × 317,755.80
  4. Step 4: Simplify right side
    617,061.40x = 294,384,435,117.23
  5. Step 5: Solve for x
    x = 294,384,435,117.23/617,061.40
  6. Step 6: Final answer
    x = 477,074.79

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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.