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Finding the Fourth Proportional to 690,670, 1,036,153.20 and 391,294

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Solution

The fourth proportional to 690,670, 1,036,153.20 and 391,294 is: 587,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,670 : 1,036,153.20 = 391,294 : x
  2. Step 2: Convert to fraction form
    690,670/1,036,153.20 = 391,294/x
  3. Step 3: Cross multiply
    690,670x = 1,036,153.20 × 391,294
  4. Step 4: Simplify right side
    690,670x = 405,440,530,240.80
  5. Step 5: Solve for x
    x = 405,440,530,240.80/690,670
  6. Step 6: Final answer
    x = 587,024.96

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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.