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Finding the Fourth Proportional to 375,437.16, 518,116.20 and 205,671.36

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Solution

The fourth proportional to 375,437.16, 518,116.20 and 205,671.36 is: 283,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,437.16 : 518,116.20 = 205,671.36 : x
  2. Step 2: Convert to fraction form
    375,437.16/518,116.20 = 205,671.36/x
  3. Step 3: Cross multiply
    375,437.16x = 518,116.20 × 205,671.36
  4. Step 4: Simplify right side
    375,437.16x = 106,561,663,492.03
  5. Step 5: Solve for x
    x = 106,561,663,492.03/375,437.16
  6. Step 6: Final answer
    x = 283,833.55

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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.