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Finding the Fourth Proportional to 455,201.70, 682,802.55 and 313,484.10

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Solution

The fourth proportional to 455,201.70, 682,802.55 and 313,484.10 is: 470,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,201.70 : 682,802.55 = 313,484.10 : x
  2. Step 2: Convert to fraction form
    455,201.70/682,802.55 = 313,484.10/x
  3. Step 3: Cross multiply
    455,201.70x = 682,802.55 × 313,484.10
  4. Step 4: Simplify right side
    455,201.70x = 214,047,742,864.46
  5. Step 5: Solve for x
    x = 214,047,742,864.46/455,201.70
  6. Step 6: Final answer
    x = 470,226.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.