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Finding the Fourth Proportional to 282,434.76, 389,647.27 and 180,433.77

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Solution

The fourth proportional to 282,434.76, 389,647.27 and 180,433.77 is: 248,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,434.76 : 389,647.27 = 180,433.77 : x
  2. Step 2: Convert to fraction form
    282,434.76/389,647.27 = 180,433.77/x
  3. Step 3: Cross multiply
    282,434.76x = 389,647.27 × 180,433.77
  4. Step 4: Simplify right side
    282,434.76x = 70,305,525,896.31
  5. Step 5: Solve for x
    x = 70,305,525,896.31/282,434.76
  6. Step 6: Final answer
    x = 248,926.60

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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.