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Finding the Fourth Proportional to 284,657.88, 392,824.62 and 155,595

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Solution

The fourth proportional to 284,657.88, 392,824.62 and 155,595 is: 214,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,657.88 : 392,824.62 = 155,595 : x
  2. Step 2: Convert to fraction form
    284,657.88/392,824.62 = 155,595/x
  3. Step 3: Cross multiply
    284,657.88x = 392,824.62 × 155,595
  4. Step 4: Simplify right side
    284,657.88x = 61,121,546,748.90
  5. Step 5: Solve for x
    x = 61,121,546,748.90/284,657.88
  6. Step 6: Final answer
    x = 214,719.32

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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.