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Finding the Fourth Proportional to 375,128.64, 517,683.72 and 211,793.76

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Solution

The fourth proportional to 375,128.64, 517,683.72 and 211,793.76 is: 292,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,128.64 : 517,683.72 = 211,793.76 : x
  2. Step 2: Convert to fraction form
    375,128.64/517,683.72 = 211,793.76/x
  3. Step 3: Cross multiply
    375,128.64x = 517,683.72 × 211,793.76
  4. Step 4: Simplify right side
    375,128.64x = 109,642,181,549.59
  5. Step 5: Solve for x
    x = 109,642,181,549.59/375,128.64
  6. Step 6: Final answer
    x = 292,278.89

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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.