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Finding the Fourth Proportional to 706,881.84, 975,125.16 and 420,198

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Solution

The fourth proportional to 706,881.84, 975,125.16 and 420,198 is: 579,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,881.84 : 975,125.16 = 420,198 : x
  2. Step 2: Convert to fraction form
    706,881.84/975,125.16 = 420,198/x
  3. Step 3: Cross multiply
    706,881.84x = 975,125.16 × 420,198
  4. Step 4: Simplify right side
    706,881.84x = 409,745,641,981.68
  5. Step 5: Solve for x
    x = 409,745,641,981.68/706,881.84
  6. Step 6: Final answer
    x = 579,652.24

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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.