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Finding the Fourth Proportional to 216,430.82, 298,669.32 and 118,309.70

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Solution

The fourth proportional to 216,430.82, 298,669.32 and 118,309.70 is: 163,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,430.82 : 298,669.32 = 118,309.70 : x
  2. Step 2: Convert to fraction form
    216,430.82/298,669.32 = 118,309.70/x
  3. Step 3: Cross multiply
    216,430.82x = 298,669.32 × 118,309.70
  4. Step 4: Simplify right side
    216,430.82x = 35,335,477,648.40
  5. Step 5: Solve for x
    x = 35,335,477,648.40/216,430.82
  6. Step 6: Final answer
    x = 163,264.54

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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.