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Finding the Fourth Proportional to 280,125.98, 420,214.62 and 111,605.48

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Solution

The fourth proportional to 280,125.98, 420,214.62 and 111,605.48 is: 167,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,125.98 : 420,214.62 = 111,605.48 : x
  2. Step 2: Convert to fraction form
    280,125.98/420,214.62 = 111,605.48/x
  3. Step 3: Cross multiply
    280,125.98x = 420,214.62 × 111,605.48
  4. Step 4: Simplify right side
    280,125.98x = 46,898,254,368.12
  5. Step 5: Solve for x
    x = 46,898,254,368.12/280,125.98
  6. Step 6: Final answer
    x = 167,418.44

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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.