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Finding the Fourth Proportional to 280,999.10, 421,498.65 and 169,024.70

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Solution

The fourth proportional to 280,999.10, 421,498.65 and 169,024.70 is: 253,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,999.10 : 421,498.65 = 169,024.70 : x
  2. Step 2: Convert to fraction form
    280,999.10/421,498.65 = 169,024.70/x
  3. Step 3: Cross multiply
    280,999.10x = 421,498.65 × 169,024.70
  4. Step 4: Simplify right side
    280,999.10x = 71,243,682,866.66
  5. Step 5: Solve for x
    x = 71,243,682,866.66/280,999.10
  6. Step 6: Final answer
    x = 253,537.05

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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.