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Finding the Fourth Proportional to 317,854.02, 438,443.99 and 188,704.84

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Solution

The fourth proportional to 317,854.02, 438,443.99 and 188,704.84 is: 260,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,854.02 : 438,443.99 = 188,704.84 : x
  2. Step 2: Convert to fraction form
    317,854.02/438,443.99 = 188,704.84/x
  3. Step 3: Cross multiply
    317,854.02x = 438,443.99 × 188,704.84
  4. Step 4: Simplify right side
    317,854.02x = 82,736,502,472.00
  5. Step 5: Solve for x
    x = 82,736,502,472.00/317,854.02
  6. Step 6: Final answer
    x = 260,297.17

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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.