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Finding the Fourth Proportional to 284,664, 392,835.96 and 155,603.28

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Solution

The fourth proportional to 284,664, 392,835.96 and 155,603.28 is: 214,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,664 : 392,835.96 = 155,603.28 : x
  2. Step 2: Convert to fraction form
    284,664/392,835.96 = 155,603.28/x
  3. Step 3: Cross multiply
    284,664x = 392,835.96 × 155,603.28
  4. Step 4: Simplify right side
    284,664x = 61,126,563,877.95
  5. Step 5: Solve for x
    x = 61,126,563,877.95/284,664
  6. Step 6: Final answer
    x = 214,732.33

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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.