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Finding the Fourth Proportional to 283,120.72, 390,696.84 and 155,784.40

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Solution

The fourth proportional to 283,120.72, 390,696.84 and 155,784.40 is: 214,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,120.72 : 390,696.84 = 155,784.40 : x
  2. Step 2: Convert to fraction form
    283,120.72/390,696.84 = 155,784.40/x
  3. Step 3: Cross multiply
    283,120.72x = 390,696.84 × 155,784.40
  4. Step 4: Simplify right side
    283,120.72x = 60,864,472,801.30
  5. Step 5: Solve for x
    x = 60,864,472,801.30/283,120.72
  6. Step 6: Final answer
    x = 214,977.11

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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.