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Finding the Fourth Proportional to 284,810.98, 426,842.74 and 209,578.86

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Solution

The fourth proportional to 284,810.98, 426,842.74 and 209,578.86 is: 314,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,810.98 : 426,842.74 = 209,578.86 : x
  2. Step 2: Convert to fraction form
    284,810.98/426,842.74 = 209,578.86/x
  3. Step 3: Cross multiply
    284,810.98x = 426,842.74 × 209,578.86
  4. Step 4: Simplify right side
    284,810.98x = 89,457,214,848.48
  5. Step 5: Solve for x
    x = 89,457,214,848.48/284,810.98
  6. Step 6: Final answer
    x = 314,093.28

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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.