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Finding the Fourth Proportional to 30,499.20, 45,825.60 and 19,411.20

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Solution

The fourth proportional to 30,499.20, 45,825.60 and 19,411.20 is: 29,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.20 : 45,825.60 = 19,411.20 : x
  2. Step 2: Convert to fraction form
    30,499.20/45,825.60 = 19,411.20/x
  3. Step 3: Cross multiply
    30,499.20x = 45,825.60 × 19,411.20
  4. Step 4: Simplify right side
    30,499.20x = 889,529,886.72
  5. Step 5: Solve for x
    x = 889,529,886.72/30,499.20
  6. Step 6: Final answer
    x = 29,165.68

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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.