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Finding the Fourth Proportional to 282,630.40, 390,051.66 and 161,809.60

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Solution

The fourth proportional to 282,630.40, 390,051.66 and 161,809.60 is: 223,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630.40 : 390,051.66 = 161,809.60 : x
  2. Step 2: Convert to fraction form
    282,630.40/390,051.66 = 161,809.60/x
  3. Step 3: Cross multiply
    282,630.40x = 390,051.66 × 161,809.60
  4. Step 4: Simplify right side
    282,630.40x = 63,114,103,083.94
  5. Step 5: Solve for x
    x = 63,114,103,083.94/282,630.40
  6. Step 6: Final answer
    x = 223,309.68

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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.