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Finding the Fourth Proportional to 470,515.45, 649,315.28 and 255,655.52

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Solution

The fourth proportional to 470,515.45, 649,315.28 and 255,655.52 is: 352,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,515.45 : 649,315.28 = 255,655.52 : x
  2. Step 2: Convert to fraction form
    470,515.45/649,315.28 = 255,655.52/x
  3. Step 3: Cross multiply
    470,515.45x = 649,315.28 × 255,655.52
  4. Step 4: Simplify right side
    470,515.45x = 166,001,031,027.49
  5. Step 5: Solve for x
    x = 166,001,031,027.49/470,515.45
  6. Step 6: Final answer
    x = 352,806.76

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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.