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Finding the Fourth Proportional to 340,262.56, 510,709.27 and 171,901.40

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Solution

The fourth proportional to 340,262.56, 510,709.27 and 171,901.40 is: 258,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,262.56 : 510,709.27 = 171,901.40 : x
  2. Step 2: Convert to fraction form
    340,262.56/510,709.27 = 171,901.40/x
  3. Step 3: Cross multiply
    340,262.56x = 510,709.27 × 171,901.40
  4. Step 4: Simplify right side
    340,262.56x = 87,791,639,518.66
  5. Step 5: Solve for x
    x = 87,791,639,518.66/340,262.56
  6. Step 6: Final answer
    x = 258,011.46

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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.