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Finding the Fourth Proportional to 288,961.84, 398,809.64 and 166,430.67

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Solution

The fourth proportional to 288,961.84, 398,809.64 and 166,430.67 is: 229,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,961.84 : 398,809.64 = 166,430.67 : x
  2. Step 2: Convert to fraction form
    288,961.84/398,809.64 = 166,430.67/x
  3. Step 3: Cross multiply
    288,961.84x = 398,809.64 × 166,430.67
  4. Step 4: Simplify right side
    288,961.84x = 66,374,155,587.66
  5. Step 5: Solve for x
    x = 66,374,155,587.66/288,961.84
  6. Step 6: Final answer
    x = 229,698.69

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1.5x scale

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.