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Finding the Fourth Proportional to 470,510.21, 649,294.73 and 255,651.81

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Solution

The fourth proportional to 470,510.21, 649,294.73 and 255,651.81 is: 352,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,510.21 : 649,294.73 = 255,651.81 : x
  2. Step 2: Convert to fraction form
    470,510.21/649,294.73 = 255,651.81/x
  3. Step 3: Cross multiply
    470,510.21x = 649,294.73 × 255,651.81
  4. Step 4: Simplify right side
    470,510.21x = 165,993,371,669.70
  5. Step 5: Solve for x
    x = 165,993,371,669.70/470,510.21
  6. Step 6: Final answer
    x = 352,794.41

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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.