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Finding the Fourth Proportional to 590,434.30, 885,737.85 and 309,972.70

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Solution

The fourth proportional to 590,434.30, 885,737.85 and 309,972.70 is: 465,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,434.30 : 885,737.85 = 309,972.70 : x
  2. Step 2: Convert to fraction form
    590,434.30/885,737.85 = 309,972.70/x
  3. Step 3: Cross multiply
    590,434.30x = 885,737.85 × 309,972.70
  4. Step 4: Simplify right side
    590,434.30x = 274,554,552,856.70
  5. Step 5: Solve for x
    x = 274,554,552,856.70/590,434.30
  6. Step 6: Final answer
    x = 465,004.41

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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.