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Finding the Fourth Proportional to 280,908,002.40, 421,362,003.60 and 151,448,974.80

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Solution

The fourth proportional to 280,908,002.40, 421,362,003.60 and 151,448,974.80 is: 227,173,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,908,002.40 : 421,362,003.60 = 151,448,974.80 : x
  2. Step 2: Convert to fraction form
    280,908,002.40/421,362,003.60 = 151,448,974.80/x
  3. Step 3: Cross multiply
    280,908,002.40x = 421,362,003.60 × 151,448,974.80
  4. Step 4: Simplify right side
    280,908,002.40x = 63,814,843,464,893,920
  5. Step 5: Solve for x
    x = 63,814,843,464,893,920/280,908,002.40
  6. Step 6: Final answer
    x = 227,173,462.20

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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.