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Finding the Fourth Proportional to 458,242.84, 687,018.66 and 300,511

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Solution

The fourth proportional to 458,242.84, 687,018.66 and 300,511 is: 450,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,242.84 : 687,018.66 = 300,511 : x
  2. Step 2: Convert to fraction form
    458,242.84/687,018.66 = 300,511/x
  3. Step 3: Cross multiply
    458,242.84x = 687,018.66 × 300,511
  4. Step 4: Simplify right side
    458,242.84x = 206,456,664,535.26
  5. Step 5: Solve for x
    x = 206,456,664,535.26/458,242.84
  6. Step 6: Final answer
    x = 450,539.86

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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.