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Finding the Fourth Proportional to 282,744.26, 390,187.50 and 155,420.64

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Solution

The fourth proportional to 282,744.26, 390,187.50 and 155,420.64 is: 214,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,744.26 : 390,187.50 = 155,420.64 : x
  2. Step 2: Convert to fraction form
    282,744.26/390,187.50 = 155,420.64/x
  3. Step 3: Cross multiply
    282,744.26x = 390,187.50 × 155,420.64
  4. Step 4: Simplify right side
    282,744.26x = 60,643,190,970.00
  5. Step 5: Solve for x
    x = 60,643,190,970.00/282,744.26
  6. Step 6: Final answer
    x = 214,480.71

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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.