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Finding the Fourth Proportional to 282,409.18, 389,713 and 153,342.60

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Solution

The fourth proportional to 282,409.18, 389,713 and 153,342.60 is: 211,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,409.18 : 389,713 = 153,342.60 : x
  2. Step 2: Convert to fraction form
    282,409.18/389,713 = 153,342.60/x
  3. Step 3: Cross multiply
    282,409.18x = 389,713 × 153,342.60
  4. Step 4: Simplify right side
    282,409.18x = 59,759,604,673.80
  5. Step 5: Solve for x
    x = 59,759,604,673.80/282,409.18
  6. Step 6: Final answer
    x = 211,606.45

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1.5x scale

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.