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Finding the Fourth Proportional to 284,703, 392,887.26 and 157,372.44

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Solution

The fourth proportional to 284,703, 392,887.26 and 157,372.44 is: 217,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,703 : 392,887.26 = 157,372.44 : x
  2. Step 2: Convert to fraction form
    284,703/392,887.26 = 157,372.44/x
  3. Step 3: Cross multiply
    284,703x = 392,887.26 × 157,372.44
  4. Step 4: Simplify right side
    284,703x = 61,829,626,751.11
  5. Step 5: Solve for x
    x = 61,829,626,751.11/284,703
  6. Step 6: Final answer
    x = 217,172.38

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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.