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Finding the Fourth Proportional to 380,518.95, 525,469.14 and 284,859.57

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Solution

The fourth proportional to 380,518.95, 525,469.14 and 284,859.57 is: 393,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,518.95 : 525,469.14 = 284,859.57 : x
  2. Step 2: Convert to fraction form
    380,518.95/525,469.14 = 284,859.57/x
  3. Step 3: Cross multiply
    380,518.95x = 525,469.14 × 284,859.57
  4. Step 4: Simplify right side
    380,518.95x = 149,684,913,268.67
  5. Step 5: Solve for x
    x = 149,684,913,268.67/380,518.95
  6. Step 6: Final answer
    x = 393,370.46

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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.