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Finding the Fourth Proportional to 571,340.64, 856,742.34 and 211,262.70

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Solution

The fourth proportional to 571,340.64, 856,742.34 and 211,262.70 is: 316,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,340.64 : 856,742.34 = 211,262.70 : x
  2. Step 2: Convert to fraction form
    571,340.64/856,742.34 = 211,262.70/x
  3. Step 3: Cross multiply
    571,340.64x = 856,742.34 × 211,262.70
  4. Step 4: Simplify right side
    571,340.64x = 180,997,699,952.72
  5. Step 5: Solve for x
    x = 180,997,699,952.72/571,340.64
  6. Step 6: Final answer
    x = 316,794.72

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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.