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Finding the Fourth Proportional to 284,159.34, 426,309.21 and 84,478.86

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Solution

The fourth proportional to 284,159.34, 426,309.21 and 84,478.86 is: 126,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,159.34 : 426,309.21 = 84,478.86 : x
  2. Step 2: Convert to fraction form
    284,159.34/426,309.21 = 84,478.86/x
  3. Step 3: Cross multiply
    284,159.34x = 426,309.21 × 84,478.86
  4. Step 4: Simplify right side
    284,159.34x = 36,014,116,068.30
  5. Step 5: Solve for x
    x = 36,014,116,068.30/284,159.34
  6. Step 6: Final answer
    x = 126,739.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.