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Finding the Fourth Proportional to 281,475.38, 388,428.44 and 160,614.48

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Solution

The fourth proportional to 281,475.38, 388,428.44 and 160,614.48 is: 221,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,475.38 : 388,428.44 = 160,614.48 : x
  2. Step 2: Convert to fraction form
    281,475.38/388,428.44 = 160,614.48/x
  3. Step 3: Cross multiply
    281,475.38x = 388,428.44 × 160,614.48
  4. Step 4: Simplify right side
    281,475.38x = 62,387,231,907.81
  5. Step 5: Solve for x
    x = 62,387,231,907.81/281,475.38
  6. Step 6: Final answer
    x = 221,643.65

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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.