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Finding the Fourth Proportional to 470,342.94, 649,078.05 and 255,487.20

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Solution

The fourth proportional to 470,342.94, 649,078.05 and 255,487.20 is: 352,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,342.94 : 649,078.05 = 255,487.20 : x
  2. Step 2: Convert to fraction form
    470,342.94/649,078.05 = 255,487.20/x
  3. Step 3: Cross multiply
    470,342.94x = 649,078.05 × 255,487.20
  4. Step 4: Simplify right side
    470,342.94x = 165,831,133,575.96
  5. Step 5: Solve for x
    x = 165,831,133,575.96/470,342.94
  6. Step 6: Final answer
    x = 352,574.94

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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.