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Finding the Fourth Proportional to 284,495.04, 392,679.12 and 163,649.52

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Solution

The fourth proportional to 284,495.04, 392,679.12 and 163,649.52 is: 225,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,495.04 : 392,679.12 = 163,649.52 : x
  2. Step 2: Convert to fraction form
    284,495.04/392,679.12 = 163,649.52/x
  3. Step 3: Cross multiply
    284,495.04x = 392,679.12 × 163,649.52
  4. Step 4: Simplify right side
    284,495.04x = 64,261,749,502.02
  5. Step 5: Solve for x
    x = 64,261,749,502.02/284,495.04
  6. Step 6: Final answer
    x = 225,880.03

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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.