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Finding the Fourth Proportional to 470,240, 648,931.04 and 255,380.12

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Solution

The fourth proportional to 470,240, 648,931.04 and 255,380.12 is: 352,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,240 : 648,931.04 = 255,380.12 : x
  2. Step 2: Convert to fraction form
    470,240/648,931.04 = 255,380.12/x
  3. Step 3: Cross multiply
    470,240x = 648,931.04 × 255,380.12
  4. Step 4: Simplify right side
    470,240x = 165,724,086,866.93
  5. Step 5: Solve for x
    x = 165,724,086,866.93/470,240
  6. Step 6: Final answer
    x = 352,424.48

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1.5x scale

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.