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Finding the Fourth Proportional to 384,946.56, 531,322.56 and 308,165.76

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Solution

The fourth proportional to 384,946.56, 531,322.56 and 308,165.76 is: 425,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,946.56 : 531,322.56 = 308,165.76 : x
  2. Step 2: Convert to fraction form
    384,946.56/531,322.56 = 308,165.76/x
  3. Step 3: Cross multiply
    384,946.56x = 531,322.56 × 308,165.76
  4. Step 4: Simplify right side
    384,946.56x = 163,735,420,507.55
  5. Step 5: Solve for x
    x = 163,735,420,507.55/384,946.56
  6. Step 6: Final answer
    x = 425,345.85

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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.