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Finding the Fourth Proportional to 325,409.94, 488,459.97 and 288,211.50

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Solution

The fourth proportional to 325,409.94, 488,459.97 and 288,211.50 is: 432,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,409.94 : 488,459.97 = 288,211.50 : x
  2. Step 2: Convert to fraction form
    325,409.94/488,459.97 = 288,211.50/x
  3. Step 3: Cross multiply
    325,409.94x = 488,459.97 × 288,211.50
  4. Step 4: Simplify right side
    325,409.94x = 140,779,780,643.66
  5. Step 5: Solve for x
    x = 140,779,780,643.66/325,409.94
  6. Step 6: Final answer
    x = 432,622.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.