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Finding the Fourth Proportional to 280,908,052.98, 421,362,079.46 and 280,908,052.98

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Solution

The fourth proportional to 280,908,052.98, 421,362,079.46 and 280,908,052.98 is: 421,362,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,908,052.98 : 421,362,079.46 = 280,908,052.98 : x
  2. Step 2: Convert to fraction form
    280,908,052.98/421,362,079.46 = 280,908,052.98/x
  3. Step 3: Cross multiply
    280,908,052.98x = 421,362,079.46 × 280,908,052.98
  4. Step 4: Simplify right side
    280,908,052.98x = 118,364,001,340,712,656
  5. Step 5: Solve for x
    x = 118,364,001,340,712,656/280,908,052.98
  6. Step 6: Final answer
    x = 421,362,079.46

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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.