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Finding the Fourth Proportional to 310,141.52, 464,916.72 and 99,631.64

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Solution

The fourth proportional to 310,141.52, 464,916.72 and 99,631.64 is: 149,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,141.52 : 464,916.72 = 99,631.64 : x
  2. Step 2: Convert to fraction form
    310,141.52/464,916.72 = 99,631.64/x
  3. Step 3: Cross multiply
    310,141.52x = 464,916.72 × 99,631.64
  4. Step 4: Simplify right side
    310,141.52x = 46,320,415,277.02
  5. Step 5: Solve for x
    x = 46,320,415,277.02/310,141.52
  6. Step 6: Final answer
    x = 149,352.51

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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.