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Finding the Fourth Proportional to 280,701.90, 421,056.45 and 93,713.40

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Solution

The fourth proportional to 280,701.90, 421,056.45 and 93,713.40 is: 140,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,701.90 : 421,056.45 = 93,713.40 : x
  2. Step 2: Convert to fraction form
    280,701.90/421,056.45 = 93,713.40/x
  3. Step 3: Cross multiply
    280,701.90x = 421,056.45 × 93,713.40
  4. Step 4: Simplify right side
    280,701.90x = 39,458,631,521.43
  5. Step 5: Solve for x
    x = 39,458,631,521.43/280,701.90
  6. Step 6: Final answer
    x = 140,571.30

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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.