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Finding the Fourth Proportional to 282,801.28, 390,255.72 and 155,476

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Solution

The fourth proportional to 282,801.28, 390,255.72 and 155,476 is: 214,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,801.28 : 390,255.72 = 155,476 : x
  2. Step 2: Convert to fraction form
    282,801.28/390,255.72 = 155,476/x
  3. Step 3: Cross multiply
    282,801.28x = 390,255.72 × 155,476
  4. Step 4: Simplify right side
    282,801.28x = 60,675,398,322.72
  5. Step 5: Solve for x
    x = 60,675,398,322.72/282,801.28
  6. Step 6: Final answer
    x = 214,551.36

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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.