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Finding the Fourth Proportional to 353,142.30, 529,713.45 and 213,174.30

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Solution

The fourth proportional to 353,142.30, 529,713.45 and 213,174.30 is: 319,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,142.30 : 529,713.45 = 213,174.30 : x
  2. Step 2: Convert to fraction form
    353,142.30/529,713.45 = 213,174.30/x
  3. Step 3: Cross multiply
    353,142.30x = 529,713.45 × 213,174.30
  4. Step 4: Simplify right side
    353,142.30x = 112,921,293,904.34
  5. Step 5: Solve for x
    x = 112,921,293,904.34/353,142.30
  6. Step 6: Final answer
    x = 319,761.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.