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Finding the Fourth Proportional to 282,915.52, 390,433.44 and 155,600.96

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Solution

The fourth proportional to 282,915.52, 390,433.44 and 155,600.96 is: 214,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,915.52 : 390,433.44 = 155,600.96 : x
  2. Step 2: Convert to fraction form
    282,915.52/390,433.44 = 155,600.96/x
  3. Step 3: Cross multiply
    282,915.52x = 390,433.44 × 155,600.96
  4. Step 4: Simplify right side
    282,915.52x = 60,751,818,080.10
  5. Step 5: Solve for x
    x = 60,751,818,080.10/282,915.52
  6. Step 6: Final answer
    x = 214,734.84

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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.