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Finding the Fourth Proportional to 375,172.52, 517,689.81 and 214,017.93

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Solution

The fourth proportional to 375,172.52, 517,689.81 and 214,017.93 is: 295,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,172.52 : 517,689.81 = 214,017.93 : x
  2. Step 2: Convert to fraction form
    375,172.52/517,689.81 = 214,017.93/x
  3. Step 3: Cross multiply
    375,172.52x = 517,689.81 × 214,017.93
  4. Step 4: Simplify right side
    375,172.52x = 110,794,901,518.29
  5. Step 5: Solve for x
    x = 110,794,901,518.29/375,172.52
  6. Step 6: Final answer
    x = 295,317.21

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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.