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Finding the Fourth Proportional to 375,339.40, 517,977.04 and 214,209.47

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Solution

The fourth proportional to 375,339.40, 517,977.04 and 214,209.47 is: 295,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,339.40 : 517,977.04 = 214,209.47 : x
  2. Step 2: Convert to fraction form
    375,339.40/517,977.04 = 214,209.47/x
  3. Step 3: Cross multiply
    375,339.40x = 517,977.04 × 214,209.47
  4. Step 4: Simplify right side
    375,339.40x = 110,955,587,210.57
  5. Step 5: Solve for x
    x = 110,955,587,210.57/375,339.40
  6. Step 6: Final answer
    x = 295,614.02

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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.