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Finding the Fourth Proportional to 282,390.06, 389,700.42 and 161,523.90

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Solution

The fourth proportional to 282,390.06, 389,700.42 and 161,523.90 is: 222,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,390.06 : 389,700.42 = 161,523.90 : x
  2. Step 2: Convert to fraction form
    282,390.06/389,700.42 = 161,523.90/x
  3. Step 3: Cross multiply
    282,390.06x = 389,700.42 × 161,523.90
  4. Step 4: Simplify right side
    282,390.06x = 62,945,931,670.04
  5. Step 5: Solve for x
    x = 62,945,931,670.04/282,390.06
  6. Step 6: Final answer
    x = 222,904.20

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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.