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Finding the Fourth Proportional to 280,450.25, 387,021.12 and 153,125.84

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Solution

The fourth proportional to 280,450.25, 387,021.12 and 153,125.84 is: 211,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,450.25 : 387,021.12 = 153,125.84 : x
  2. Step 2: Convert to fraction form
    280,450.25/387,021.12 = 153,125.84/x
  3. Step 3: Cross multiply
    280,450.25x = 387,021.12 × 153,125.84
  4. Step 4: Simplify right side
    280,450.25x = 59,262,932,162.64
  5. Step 5: Solve for x
    x = 59,262,932,162.64/280,450.25
  6. Step 6: Final answer
    x = 211,313.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.