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Finding the Fourth Proportional to 282,963.76, 390,481.76 and 155,639.32

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Solution

The fourth proportional to 282,963.76, 390,481.76 and 155,639.32 is: 214,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,963.76 : 390,481.76 = 155,639.32 : x
  2. Step 2: Convert to fraction form
    282,963.76/390,481.76 = 155,639.32/x
  3. Step 3: Cross multiply
    282,963.76x = 390,481.76 × 155,639.32
  4. Step 4: Simplify right side
    282,963.76x = 60,774,312,868.20
  5. Step 5: Solve for x
    x = 60,774,312,868.20/282,963.76
  6. Step 6: Final answer
    x = 214,777.73

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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.