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Finding the Fourth Proportional to 706,597.78, 975,358.57 and 420,117.18

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Solution

The fourth proportional to 706,597.78, 975,358.57 and 420,117.18 is: 579,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,597.78 : 975,358.57 = 420,117.18 : x
  2. Step 2: Convert to fraction form
    706,597.78/975,358.57 = 420,117.18/x
  3. Step 3: Cross multiply
    706,597.78x = 975,358.57 × 420,117.18
  4. Step 4: Simplify right side
    706,597.78x = 409,764,891,917.23
  5. Step 5: Solve for x
    x = 409,764,891,917.23/706,597.78
  6. Step 6: Final answer
    x = 579,912.51

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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.