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Finding the Fourth Proportional to 706,965.84, 975,241.08 and 420,282

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Solution

The fourth proportional to 706,965.84, 975,241.08 and 420,282 is: 579,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,965.84 : 975,241.08 = 420,282 : x
  2. Step 2: Convert to fraction form
    706,965.84/975,241.08 = 420,282/x
  3. Step 3: Cross multiply
    706,965.84x = 975,241.08 × 420,282
  4. Step 4: Simplify right side
    706,965.84x = 409,876,271,584.56
  5. Step 5: Solve for x
    x = 409,876,271,584.56/706,965.84
  6. Step 6: Final answer
    x = 579,768.14

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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.