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Finding the Fourth Proportional to 375,152.55, 517,759.82 and 213,970.65

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Solution

The fourth proportional to 375,152.55, 517,759.82 and 213,970.65 is: 295,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,152.55 : 517,759.82 = 213,970.65 : x
  2. Step 2: Convert to fraction form
    375,152.55/517,759.82 = 213,970.65/x
  3. Step 3: Cross multiply
    375,152.55x = 517,759.82 × 213,970.65
  4. Step 4: Simplify right side
    375,152.55x = 110,785,405,229.28
  5. Step 5: Solve for x
    x = 110,785,405,229.28/375,152.55
  6. Step 6: Final answer
    x = 295,307.62

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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.