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Finding the Fourth Proportional to 686,488.64, 947,351.70 and 384,682.64

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Solution

The fourth proportional to 686,488.64, 947,351.70 and 384,682.64 is: 530,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,488.64 : 947,351.70 = 384,682.64 : x
  2. Step 2: Convert to fraction form
    686,488.64/947,351.70 = 384,682.64/x
  3. Step 3: Cross multiply
    686,488.64x = 947,351.70 × 384,682.64
  4. Step 4: Simplify right side
    686,488.64x = 364,429,752,964.49
  5. Step 5: Solve for x
    x = 364,429,752,964.49/686,488.64
  6. Step 6: Final answer
    x = 530,860.57

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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.