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Finding the Fourth Proportional to 380,352.50, 524,894.46 and 208,277.72

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Solution

The fourth proportional to 380,352.50, 524,894.46 and 208,277.72 is: 287,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,352.50 : 524,894.46 = 208,277.72 : x
  2. Step 2: Convert to fraction form
    380,352.50/524,894.46 = 208,277.72/x
  3. Step 3: Cross multiply
    380,352.50x = 524,894.46 × 208,277.72
  4. Step 4: Simplify right side
    380,352.50x = 109,323,821,369.43
  5. Step 5: Solve for x
    x = 109,323,821,369.43/380,352.50
  6. Step 6: Final answer
    x = 287,427.64

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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.