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Finding the Fourth Proportional to 647,072.61, 970,615.13 and 173,758.02

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Solution

The fourth proportional to 647,072.61, 970,615.13 and 173,758.02 is: 260,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,072.61 : 970,615.13 = 173,758.02 : x
  2. Step 2: Convert to fraction form
    647,072.61/970,615.13 = 173,758.02/x
  3. Step 3: Cross multiply
    647,072.61x = 970,615.13 × 173,758.02
  4. Step 4: Simplify right side
    647,072.61x = 168,652,162,302.05
  5. Step 5: Solve for x
    x = 168,652,162,302.05/647,072.61
  6. Step 6: Final answer
    x = 260,638.70

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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.