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Finding the Fourth Proportional to 429,096.70, 643,733.58 and 140,930.08

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Solution

The fourth proportional to 429,096.70, 643,733.58 and 140,930.08 is: 211,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,096.70 : 643,733.58 = 140,930.08 : x
  2. Step 2: Convert to fraction form
    429,096.70/643,733.58 = 140,930.08/x
  3. Step 3: Cross multiply
    429,096.70x = 643,733.58 × 140,930.08
  4. Step 4: Simplify right side
    429,096.70x = 90,721,424,928.09
  5. Step 5: Solve for x
    x = 90,721,424,928.09/429,096.70
  6. Step 6: Final answer
    x = 211,424.20

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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.