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Finding the Fourth Proportional to 284,405.76, 392,256 and 265,328.64

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Solution

The fourth proportional to 284,405.76, 392,256 and 265,328.64 is: 365,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,405.76 : 392,256 = 265,328.64 : x
  2. Step 2: Convert to fraction form
    284,405.76/392,256 = 265,328.64/x
  3. Step 3: Cross multiply
    284,405.76x = 392,256 × 265,328.64
  4. Step 4: Simplify right side
    284,405.76x = 104,076,751,011.84
  5. Step 5: Solve for x
    x = 104,076,751,011.84/284,405.76
  6. Step 6: Final answer
    x = 365,944.60

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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.