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Finding the Fourth Proportional to 375,164, 517,678.10 and 214,009.44

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Solution

The fourth proportional to 375,164, 517,678.10 and 214,009.44 is: 295,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,164 : 517,678.10 = 214,009.44 : x
  2. Step 2: Convert to fraction form
    375,164/517,678.10 = 214,009.44/x
  3. Step 3: Cross multiply
    375,164x = 517,678.10 × 214,009.44
  4. Step 4: Simplify right side
    375,164x = 110,788,000,281.26
  5. Step 5: Solve for x
    x = 110,788,000,281.26/375,164
  6. Step 6: Final answer
    x = 295,305.52

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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.