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Finding the Fourth Proportional to 284,525.70, 392,640.86 and 155,461.41

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Solution

The fourth proportional to 284,525.70, 392,640.86 and 155,461.41 is: 214,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,525.70 : 392,640.86 = 155,461.41 : x
  2. Step 2: Convert to fraction form
    284,525.70/392,640.86 = 155,461.41/x
  3. Step 3: Cross multiply
    284,525.70x = 392,640.86 × 155,461.41
  4. Step 4: Simplify right side
    284,525.70x = 61,040,500,941.91
  5. Step 5: Solve for x
    x = 61,040,500,941.91/284,525.70
  6. Step 6: Final answer
    x = 214,534.23

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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.