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Finding the Fourth Proportional to 282,959.87, 390,369.42 and 160,426.43

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Solution

The fourth proportional to 282,959.87, 390,369.42 and 160,426.43 is: 221,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,959.87 : 390,369.42 = 160,426.43 : x
  2. Step 2: Convert to fraction form
    282,959.87/390,369.42 = 160,426.43/x
  3. Step 3: Cross multiply
    282,959.87x = 390,369.42 × 160,426.43
  4. Step 4: Simplify right side
    282,959.87x = 62,625,570,479.92
  5. Step 5: Solve for x
    x = 62,625,570,479.92/282,959.87
  6. Step 6: Final answer
    x = 221,323.16

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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.