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Finding the Fourth Proportional to 682,749,258.58, 942,196,943.80 and 369,483,498.87

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Solution

The fourth proportional to 682,749,258.58, 942,196,943.80 and 369,483,498.87 is: 509,888,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,749,258.58 : 942,196,943.80 = 369,483,498.87 : x
  2. Step 2: Convert to fraction form
    682,749,258.58/942,196,943.80 = 369,483,498.87/x
  3. Step 3: Cross multiply
    682,749,258.58x = 942,196,943.80 × 369,483,498.87
  4. Step 4: Simplify right side
    682,749,258.58x = 348,126,223,419,844,736
  5. Step 5: Solve for x
    x = 348,126,223,419,844,736/682,749,258.58
  6. Step 6: Final answer
    x = 509,888,834.07

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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.