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Finding the Fourth Proportional to 375,114.16, 517,663.68 and 211,779.28

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Solution

The fourth proportional to 375,114.16, 517,663.68 and 211,779.28 is: 292,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,114.16 : 517,663.68 = 211,779.28 : x
  2. Step 2: Convert to fraction form
    375,114.16/517,663.68 = 211,779.28/x
  3. Step 3: Cross multiply
    375,114.16x = 517,663.68 × 211,779.28
  4. Step 4: Simplify right side
    375,114.16x = 109,630,441,432.55
  5. Step 5: Solve for x
    x = 109,630,441,432.55/375,114.16
  6. Step 6: Final answer
    x = 292,258.87

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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.