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Finding the Fourth Proportional to 280,908,045.23, 421,362,067.84 and 280,908,045.23

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Solution

The fourth proportional to 280,908,045.23, 421,362,067.84 and 280,908,045.23 is: 421,362,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,908,045.23 : 421,362,067.84 = 280,908,045.23 : x
  2. Step 2: Convert to fraction form
    280,908,045.23/421,362,067.84 = 280,908,045.23/x
  3. Step 3: Cross multiply
    280,908,045.23x = 421,362,067.84 × 280,908,045.23
  4. Step 4: Simplify right side
    280,908,045.23x = 118,363,994,808,195,968
  5. Step 5: Solve for x
    x = 118,363,994,808,195,968/280,908,045.23
  6. Step 6: Final answer
    x = 421,362,067.84

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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.