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Finding the Fourth Proportional to 649,510.53, 896,288.37 and 359,105.30

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Solution

The fourth proportional to 649,510.53, 896,288.37 and 359,105.30 is: 495,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,510.53 : 896,288.37 = 359,105.30 : x
  2. Step 2: Convert to fraction form
    649,510.53/896,288.37 = 359,105.30/x
  3. Step 3: Cross multiply
    649,510.53x = 896,288.37 × 359,105.30
  4. Step 4: Simplify right side
    649,510.53x = 321,861,903,995.36
  5. Step 5: Solve for x
    x = 321,861,903,995.36/649,510.53
  6. Step 6: Final answer
    x = 495,545.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.