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Finding the Fourth Proportional to 610,266.72, 915,408.84 and 189,516

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Solution

The fourth proportional to 610,266.72, 915,408.84 and 189,516 is: 284,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,266.72 : 915,408.84 = 189,516 : x
  2. Step 2: Convert to fraction form
    610,266.72/915,408.84 = 189,516/x
  3. Step 3: Cross multiply
    610,266.72x = 915,408.84 × 189,516
  4. Step 4: Simplify right side
    610,266.72x = 173,484,621,721.44
  5. Step 5: Solve for x
    x = 173,484,621,721.44/610,266.72
  6. Step 6: Final answer
    x = 284,276.72

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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.