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Finding the Fourth Proportional to 458,241.84, 687,017.16 and 300,510

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Solution

The fourth proportional to 458,241.84, 687,017.16 and 300,510 is: 450,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,241.84 : 687,017.16 = 300,510 : x
  2. Step 2: Convert to fraction form
    458,241.84/687,017.16 = 300,510/x
  3. Step 3: Cross multiply
    458,241.84x = 687,017.16 × 300,510
  4. Step 4: Simplify right side
    458,241.84x = 206,455,526,751.60
  5. Step 5: Solve for x
    x = 206,455,526,751.60/458,241.84
  6. Step 6: Final answer
    x = 450,538.36

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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.