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Finding the Fourth Proportional to 284,558.64, 392,698.80 and 157,242.48

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Solution

The fourth proportional to 284,558.64, 392,698.80 and 157,242.48 is: 216,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,558.64 : 392,698.80 = 157,242.48 : x
  2. Step 2: Convert to fraction form
    284,558.64/392,698.80 = 157,242.48/x
  3. Step 3: Cross multiply
    284,558.64x = 392,698.80 × 157,242.48
  4. Step 4: Simplify right side
    284,558.64x = 61,748,933,205.02
  5. Step 5: Solve for x
    x = 61,748,933,205.02/284,558.64
  6. Step 6: Final answer
    x = 216,998.97

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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.