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Finding the Fourth Proportional to 280,999.80, 421,353.90 and 103,415.40

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Solution

The fourth proportional to 280,999.80, 421,353.90 and 103,415.40 is: 155,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,999.80 : 421,353.90 = 103,415.40 : x
  2. Step 2: Convert to fraction form
    280,999.80/421,353.90 = 103,415.40/x
  3. Step 3: Cross multiply
    280,999.80x = 421,353.90 × 103,415.40
  4. Step 4: Simplify right side
    280,999.80x = 43,574,482,110.06
  5. Step 5: Solve for x
    x = 43,574,482,110.06/280,999.80
  6. Step 6: Final answer
    x = 155,069.44

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1.5x scale

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.