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Finding the Fourth Proportional to 280,842.80, 421,264.20 and 174,554.60

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Solution

The fourth proportional to 280,842.80, 421,264.20 and 174,554.60 is: 261,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,842.80 : 421,264.20 = 174,554.60 : x
  2. Step 2: Convert to fraction form
    280,842.80/421,264.20 = 174,554.60/x
  3. Step 3: Cross multiply
    280,842.80x = 421,264.20 × 174,554.60
  4. Step 4: Simplify right side
    280,842.80x = 73,533,603,925.32
  5. Step 5: Solve for x
    x = 73,533,603,925.32/280,842.80
  6. Step 6: Final answer
    x = 261,831.90

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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.