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Finding the Fourth Proportional to 458,095.01, 687,142.06 and 313,858.71

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Solution

The fourth proportional to 458,095.01, 687,142.06 and 313,858.71 is: 470,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,095.01 : 687,142.06 = 313,858.71 : x
  2. Step 2: Convert to fraction form
    458,095.01/687,142.06 = 313,858.71/x
  3. Step 3: Cross multiply
    458,095.01x = 687,142.06 × 313,858.71
  4. Step 4: Simplify right side
    458,095.01x = 215,665,522,330.48
  5. Step 5: Solve for x
    x = 215,665,522,330.48/458,095.01
  6. Step 6: Final answer
    x = 470,787.76

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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.