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Finding the Fourth Proportional to 284,573.14, 392,718.86 and 157,256.94

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Solution

The fourth proportional to 284,573.14, 392,718.86 and 157,256.94 is: 217,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,573.14 : 392,718.86 = 157,256.94 : x
  2. Step 2: Convert to fraction form
    284,573.14/392,718.86 = 157,256.94/x
  3. Step 3: Cross multiply
    284,573.14x = 392,718.86 × 157,256.94
  4. Step 4: Simplify right side
    284,573.14x = 61,757,766,203.89
  5. Step 5: Solve for x
    x = 61,757,766,203.89/284,573.14
  6. Step 6: Final answer
    x = 217,018.96

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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.