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Finding the Fourth Proportional to 282,184.59, 389,303.88 and 161,261

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Solution

The fourth proportional to 282,184.59, 389,303.88 and 161,261 is: 222,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,184.59 : 389,303.88 = 161,261 : x
  2. Step 2: Convert to fraction form
    282,184.59/389,303.88 = 161,261/x
  3. Step 3: Cross multiply
    282,184.59x = 389,303.88 × 161,261
  4. Step 4: Simplify right side
    282,184.59x = 62,779,532,186.38
  5. Step 5: Solve for x
    x = 62,779,532,186.38/282,184.59
  6. Step 6: Final answer
    x = 222,476.83

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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.