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Finding the Fourth Proportional to 284,875.92, 393,126.48 and 157,548.24

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Solution

The fourth proportional to 284,875.92, 393,126.48 and 157,548.24 is: 217,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,875.92 : 393,126.48 = 157,548.24 : x
  2. Step 2: Convert to fraction form
    284,875.92/393,126.48 = 157,548.24/x
  3. Step 3: Cross multiply
    284,875.92x = 393,126.48 × 157,548.24
  4. Step 4: Simplify right side
    284,875.92x = 61,936,385,021.40
  5. Step 5: Solve for x
    x = 61,936,385,021.40/284,875.92
  6. Step 6: Final answer
    x = 217,415.30

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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.