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Finding the Fourth Proportional to 282,954.51, 390,473.34 and 153,890.18

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Solution

The fourth proportional to 282,954.51, 390,473.34 and 153,890.18 is: 212,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,954.51 : 390,473.34 = 153,890.18 : x
  2. Step 2: Convert to fraction form
    282,954.51/390,473.34 = 153,890.18/x
  3. Step 3: Cross multiply
    282,954.51x = 390,473.34 × 153,890.18
  4. Step 4: Simplify right side
    282,954.51x = 60,090,010,625.43
  5. Step 5: Solve for x
    x = 60,090,010,625.43/282,954.51
  6. Step 6: Final answer
    x = 212,366.33

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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.