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Finding the Fourth Proportional to 280,940.16, 421,322.40 and 93,907.92

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Solution

The fourth proportional to 280,940.16, 421,322.40 and 93,907.92 is: 140,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,940.16 : 421,322.40 = 93,907.92 : x
  2. Step 2: Convert to fraction form
    280,940.16/421,322.40 = 93,907.92/x
  3. Step 3: Cross multiply
    280,940.16x = 421,322.40 × 93,907.92
  4. Step 4: Simplify right side
    280,940.16x = 39,565,510,233.41
  5. Step 5: Solve for x
    x = 39,565,510,233.41/280,940.16
  6. Step 6: Final answer
    x = 140,832.52

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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.