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Finding the Fourth Proportional to 282,797.50, 390,263.19 and 155,474

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Solution

The fourth proportional to 282,797.50, 390,263.19 and 155,474 is: 214,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,797.50 : 390,263.19 = 155,474 : x
  2. Step 2: Convert to fraction form
    282,797.50/390,263.19 = 155,474/x
  3. Step 3: Cross multiply
    282,797.50x = 390,263.19 × 155,474
  4. Step 4: Simplify right side
    282,797.50x = 60,675,779,202.06
  5. Step 5: Solve for x
    x = 60,675,779,202.06/282,797.50
  6. Step 6: Final answer
    x = 214,555.58

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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.