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Finding the Fourth Proportional to 430,671.95, 646,143.71 and 202,958.37

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Solution

The fourth proportional to 430,671.95, 646,143.71 and 202,958.37 is: 304,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,671.95 : 646,143.71 = 202,958.37 : x
  2. Step 2: Convert to fraction form
    430,671.95/646,143.71 = 202,958.37/x
  3. Step 3: Cross multiply
    430,671.95x = 646,143.71 × 202,958.37
  4. Step 4: Simplify right side
    430,671.95x = 131,140,273,152.56
  5. Step 5: Solve for x
    x = 131,140,273,152.56/430,671.95
  6. Step 6: Final answer
    x = 304,501.54

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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.