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Finding the Fourth Proportional to 282,953.92, 390,464.28 and 155,621.28

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Solution

The fourth proportional to 282,953.92, 390,464.28 and 155,621.28 is: 214,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,953.92 : 390,464.28 = 155,621.28 : x
  2. Step 2: Convert to fraction form
    282,953.92/390,464.28 = 155,621.28/x
  3. Step 3: Cross multiply
    282,953.92x = 390,464.28 × 155,621.28
  4. Step 4: Simplify right side
    282,953.92x = 60,764,551,047.88
  5. Step 5: Solve for x
    x = 60,764,551,047.88/282,953.92
  6. Step 6: Final answer
    x = 214,750.70

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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.