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Finding the Fourth Proportional to 461,039.50, 636,245.76 and 257,088.43

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Solution

The fourth proportional to 461,039.50, 636,245.76 and 257,088.43 is: 354,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,039.50 : 636,245.76 = 257,088.43 : x
  2. Step 2: Convert to fraction form
    461,039.50/636,245.76 = 257,088.43/x
  3. Step 3: Cross multiply
    461,039.50x = 636,245.76 × 257,088.43
  4. Step 4: Simplify right side
    461,039.50x = 163,571,423,532.56
  5. Step 5: Solve for x
    x = 163,571,423,532.56/461,039.50
  6. Step 6: Final answer
    x = 354,788.31

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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.