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Finding the Fourth Proportional to 430,863.79, 646,392.59 and 131,374.64

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Solution

The fourth proportional to 430,863.79, 646,392.59 and 131,374.64 is: 197,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,863.79 : 646,392.59 = 131,374.64 : x
  2. Step 2: Convert to fraction form
    430,863.79/646,392.59 = 131,374.64/x
  3. Step 3: Cross multiply
    430,863.79x = 646,392.59 × 131,374.64
  4. Step 4: Simplify right side
    430,863.79x = 84,919,596,000.66
  5. Step 5: Solve for x
    x = 84,919,596,000.66/430,863.79
  6. Step 6: Final answer
    x = 197,091.51

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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.