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Finding the Fourth Proportional to 282,960.87, 390,370.80 and 160,427.43

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Solution

The fourth proportional to 282,960.87, 390,370.80 and 160,427.43 is: 221,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,960.87 : 390,370.80 = 160,427.43 : x
  2. Step 2: Convert to fraction form
    282,960.87/390,370.80 = 160,427.43/x
  3. Step 3: Cross multiply
    282,960.87x = 390,370.80 × 160,427.43
  4. Step 4: Simplify right side
    282,960.87x = 62,626,184,191.04
  5. Step 5: Solve for x
    x = 62,626,184,191.04/282,960.87
  6. Step 6: Final answer
    x = 221,324.54

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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.