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Finding the Fourth Proportional to 470,240.24, 648,931.38 and 255,380.36

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Solution

The fourth proportional to 470,240.24, 648,931.38 and 255,380.36 is: 352,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,240.24 : 648,931.38 = 255,380.36 : x
  2. Step 2: Convert to fraction form
    470,240.24/648,931.38 = 255,380.36/x
  3. Step 3: Cross multiply
    470,240.24x = 648,931.38 × 255,380.36
  4. Step 4: Simplify right side
    470,240.24x = 165,724,329,439.70
  5. Step 5: Solve for x
    x = 165,724,329,439.70/470,240.24
  6. Step 6: Final answer
    x = 352,424.81

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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.