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Finding the Fourth Proportional to 375,948.36, 518,807.70 and 214,853.40

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Solution

The fourth proportional to 375,948.36, 518,807.70 and 214,853.40 is: 296,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,948.36 : 518,807.70 = 214,853.40 : x
  2. Step 2: Convert to fraction form
    375,948.36/518,807.70 = 214,853.40/x
  3. Step 3: Cross multiply
    375,948.36x = 518,807.70 × 214,853.40
  4. Step 4: Simplify right side
    375,948.36x = 111,467,598,291.18
  5. Step 5: Solve for x
    x = 111,467,598,291.18/375,948.36
  6. Step 6: Final answer
    x = 296,497.10

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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.