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Finding the Fourth Proportional to 284,458.64, 392,569.74 and 163,634.18

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Solution

The fourth proportional to 284,458.64, 392,569.74 and 163,634.18 is: 225,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,458.64 : 392,569.74 = 163,634.18 : x
  2. Step 2: Convert to fraction form
    284,458.64/392,569.74 = 163,634.18/x
  3. Step 3: Cross multiply
    284,458.64x = 392,569.74 × 163,634.18
  4. Step 4: Simplify right side
    284,458.64x = 64,237,825,534.86
  5. Step 5: Solve for x
    x = 64,237,825,534.86/284,458.64
  6. Step 6: Final answer
    x = 225,824.84

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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.