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Finding the Fourth Proportional to 282,813.64, 390,277.57 and 155,486.50

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Solution

The fourth proportional to 282,813.64, 390,277.57 and 155,486.50 is: 214,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,813.64 : 390,277.57 = 155,486.50 : x
  2. Step 2: Convert to fraction form
    282,813.64/390,277.57 = 155,486.50/x
  3. Step 3: Cross multiply
    282,813.64x = 390,277.57 × 155,486.50
  4. Step 4: Simplify right side
    282,813.64x = 60,682,893,387.81
  5. Step 5: Solve for x
    x = 60,682,893,387.81/282,813.64
  6. Step 6: Final answer
    x = 214,568.48

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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.