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Finding the Fourth Proportional to 284,153.72, 392,131.34 and 156,828.41

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Solution

The fourth proportional to 284,153.72, 392,131.34 and 156,828.41 is: 216,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,153.72 : 392,131.34 = 156,828.41 : x
  2. Step 2: Convert to fraction form
    284,153.72/392,131.34 = 156,828.41/x
  3. Step 3: Cross multiply
    284,153.72x = 392,131.34 × 156,828.41
  4. Step 4: Simplify right side
    284,153.72x = 61,497,334,563.37
  5. Step 5: Solve for x
    x = 61,497,334,563.37/284,153.72
  6. Step 6: Final answer
    x = 216,422.77

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1.5x scale

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.