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Finding the Fourth Proportional to 319,488.57, 440,698.86 and 204,728.58

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Solution

The fourth proportional to 319,488.57, 440,698.86 and 204,728.58 is: 282,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,488.57 : 440,698.86 = 204,728.58 : x
  2. Step 2: Convert to fraction form
    319,488.57/440,698.86 = 204,728.58/x
  3. Step 3: Cross multiply
    319,488.57x = 440,698.86 × 204,728.58
  4. Step 4: Simplify right side
    319,488.57x = 90,223,651,815.42
  5. Step 5: Solve for x
    x = 90,223,651,815.42/319,488.57
  6. Step 6: Final answer
    x = 282,400.25

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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.