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Finding the Fourth Proportional to 282,368.64, 389,673.28 and 155,056

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Solution

The fourth proportional to 282,368.64, 389,673.28 and 155,056 is: 213,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,368.64 : 389,673.28 = 155,056 : x
  2. Step 2: Convert to fraction form
    282,368.64/389,673.28 = 155,056/x
  3. Step 3: Cross multiply
    282,368.64x = 389,673.28 × 155,056
  4. Step 4: Simplify right side
    282,368.64x = 60,421,180,103.68
  5. Step 5: Solve for x
    x = 60,421,180,103.68/282,368.64
  6. Step 6: Final answer
    x = 213,979.78

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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.