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Finding the Fourth Proportional to 282,647.79, 390,052.80 and 161,788.50

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Solution

The fourth proportional to 282,647.79, 390,052.80 and 161,788.50 is: 223,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,647.79 : 390,052.80 = 161,788.50 : x
  2. Step 2: Convert to fraction form
    282,647.79/390,052.80 = 161,788.50/x
  3. Step 3: Cross multiply
    282,647.79x = 390,052.80 × 161,788.50
  4. Step 4: Simplify right side
    282,647.79x = 63,106,057,432.80
  5. Step 5: Solve for x
    x = 63,106,057,432.80/282,647.79
  6. Step 6: Final answer
    x = 223,267.47

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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.