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Finding the Fourth Proportional to 430,773.98, 646,345.50 and 178,238.06

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Solution

The fourth proportional to 430,773.98, 646,345.50 and 178,238.06 is: 267,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,773.98 : 646,345.50 = 178,238.06 : x
  2. Step 2: Convert to fraction form
    430,773.98/646,345.50 = 178,238.06/x
  3. Step 3: Cross multiply
    430,773.98x = 646,345.50 × 178,238.06
  4. Step 4: Simplify right side
    430,773.98x = 115,203,364,778.00
  5. Step 5: Solve for x
    x = 115,203,364,778.00/430,773.98
  6. Step 6: Final answer
    x = 267,433.43

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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.