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Finding the Fourth Proportional to 360,125.76, 496,970.64 and 198,980.16

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Solution

The fourth proportional to 360,125.76, 496,970.64 and 198,980.16 is: 274,591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,125.76 : 496,970.64 = 198,980.16 : x
  2. Step 2: Convert to fraction form
    360,125.76/496,970.64 = 198,980.16/x
  3. Step 3: Cross multiply
    360,125.76x = 496,970.64 × 198,980.16
  4. Step 4: Simplify right side
    360,125.76x = 98,887,297,462.50
  5. Step 5: Solve for x
    x = 98,887,297,462.50/360,125.76
  6. Step 6: Final answer
    x = 274,591.01

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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.