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Finding the Fourth Proportional to 284,804.88, 393,029.72 and 160,615.98

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Solution

The fourth proportional to 284,804.88, 393,029.72 and 160,615.98 is: 221,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,804.88 : 393,029.72 = 160,615.98 : x
  2. Step 2: Convert to fraction form
    284,804.88/393,029.72 = 160,615.98/x
  3. Step 3: Cross multiply
    284,804.88x = 393,029.72 × 160,615.98
  4. Step 4: Simplify right side
    284,804.88x = 63,126,853,446.16
  5. Step 5: Solve for x
    x = 63,126,853,446.16/284,804.88
  6. Step 6: Final answer
    x = 221,649.48

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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.