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Finding the Fourth Proportional to 383,454, 575,083.80 and 117,145.44

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Solution

The fourth proportional to 383,454, 575,083.80 and 117,145.44 is: 175,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,454 : 575,083.80 = 117,145.44 : x
  2. Step 2: Convert to fraction form
    383,454/575,083.80 = 117,145.44/x
  3. Step 3: Cross multiply
    383,454x = 575,083.80 × 117,145.44
  4. Step 4: Simplify right side
    383,454x = 67,368,444,787.87
  5. Step 5: Solve for x
    x = 67,368,444,787.87/383,454
  6. Step 6: Final answer
    x = 175,688.47

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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.