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Finding the Fourth Proportional to 270,663.60, 405,966.24 and 71,004

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Solution

The fourth proportional to 270,663.60, 405,966.24 and 71,004 is: 106,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,663.60 : 405,966.24 = 71,004 : x
  2. Step 2: Convert to fraction form
    270,663.60/405,966.24 = 71,004/x
  3. Step 3: Cross multiply
    270,663.60x = 405,966.24 × 71,004
  4. Step 4: Simplify right side
    270,663.60x = 28,825,226,904.96
  5. Step 5: Solve for x
    x = 28,825,226,904.96/270,663.60
  6. Step 6: Final answer
    x = 106,498.35

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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.