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Finding the Fourth Proportional to 284,054.63, 392,003.58 and 156,738.42

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Solution

The fourth proportional to 284,054.63, 392,003.58 and 156,738.42 is: 216,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,054.63 : 392,003.58 = 156,738.42 : x
  2. Step 2: Convert to fraction form
    284,054.63/392,003.58 = 156,738.42/x
  3. Step 3: Cross multiply
    284,054.63x = 392,003.58 × 156,738.42
  4. Step 4: Simplify right side
    284,054.63x = 61,442,022,351.31
  5. Step 5: Solve for x
    x = 61,442,022,351.31/284,054.63
  6. Step 6: Final answer
    x = 216,303.54

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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.