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Finding the Fourth Proportional to 610,261.72, 915,401.34 and 189,511

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Solution

The fourth proportional to 610,261.72, 915,401.34 and 189,511 is: 284,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,261.72 : 915,401.34 = 189,511 : x
  2. Step 2: Convert to fraction form
    610,261.72/915,401.34 = 189,511/x
  3. Step 3: Cross multiply
    610,261.72x = 915,401.34 × 189,511
  4. Step 4: Simplify right side
    610,261.72x = 173,478,623,344.74
  5. Step 5: Solve for x
    x = 173,478,623,344.74/610,261.72
  6. Step 6: Final answer
    x = 284,269.22

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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.