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Finding the Fourth Proportional to 557,376.80, 769,154.19 and 315,661.10

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Solution

The fourth proportional to 557,376.80, 769,154.19 and 315,661.10 is: 435,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,376.80 : 769,154.19 = 315,661.10 : x
  2. Step 2: Convert to fraction form
    557,376.80/769,154.19 = 315,661.10/x
  3. Step 3: Cross multiply
    557,376.80x = 769,154.19 × 315,661.10
  4. Step 4: Simplify right side
    557,376.80x = 242,792,053,839.24
  5. Step 5: Solve for x
    x = 242,792,053,839.24/557,376.80
  6. Step 6: Final answer
    x = 435,597.71

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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.