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Finding the Fourth Proportional to 484,861.95, 727,335.05 and 147,978.50

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Solution

The fourth proportional to 484,861.95, 727,335.05 and 147,978.50 is: 221,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,861.95 : 727,335.05 = 147,978.50 : x
  2. Step 2: Convert to fraction form
    484,861.95/727,335.05 = 147,978.50/x
  3. Step 3: Cross multiply
    484,861.95x = 727,335.05 × 147,978.50
  4. Step 4: Simplify right side
    484,861.95x = 107,629,945,319.86
  5. Step 5: Solve for x
    x = 107,629,945,319.86/484,861.95
  6. Step 6: Final answer
    x = 221,980.60

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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.