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Finding the Fourth Proportional to 284,370, 392,427.33 and 163,511.76

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Solution

The fourth proportional to 284,370, 392,427.33 and 163,511.76 is: 225,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,370 : 392,427.33 = 163,511.76 : x
  2. Step 2: Convert to fraction form
    284,370/392,427.33 = 163,511.76/x
  3. Step 3: Cross multiply
    284,370x = 392,427.33 × 163,511.76
  4. Step 4: Simplify right side
    284,370x = 64,166,483,400.40
  5. Step 5: Solve for x
    x = 64,166,483,400.40/284,370
  6. Step 6: Final answer
    x = 225,644.35

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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.