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Finding the Fourth Proportional to 284,871.38, 393,106.52 and 155,784.18

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Solution

The fourth proportional to 284,871.38, 393,106.52 and 155,784.18 is: 214,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,871.38 : 393,106.52 = 155,784.18 : x
  2. Step 2: Convert to fraction form
    284,871.38/393,106.52 = 155,784.18/x
  3. Step 3: Cross multiply
    284,871.38x = 393,106.52 × 155,784.18
  4. Step 4: Simplify right side
    284,871.38x = 61,239,776,091.93
  5. Step 5: Solve for x
    x = 61,239,776,091.93/284,871.38
  6. Step 6: Final answer
    x = 214,973.42

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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.