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Finding the Fourth Proportional to 284,409.70, 392,485.16 and 157,085.33

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Solution

The fourth proportional to 284,409.70, 392,485.16 and 157,085.33 is: 216,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,409.70 : 392,485.16 = 157,085.33 : x
  2. Step 2: Convert to fraction form
    284,409.70/392,485.16 = 157,085.33/x
  3. Step 3: Cross multiply
    284,409.70x = 392,485.16 × 157,085.33
  4. Step 4: Simplify right side
    284,409.70x = 61,653,659,308.99
  5. Step 5: Solve for x
    x = 61,653,659,308.99/284,409.70
  6. Step 6: Final answer
    x = 216,777.63

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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.