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Finding the Fourth Proportional to 461,408.09, 636,744.72 and 257,455.31

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Solution

The fourth proportional to 461,408.09, 636,744.72 and 257,455.31 is: 355,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,408.09 : 636,744.72 = 257,455.31 : x
  2. Step 2: Convert to fraction form
    461,408.09/636,744.72 = 257,455.31/x
  3. Step 3: Cross multiply
    461,408.09x = 636,744.72 × 257,455.31
  4. Step 4: Simplify right side
    461,408.09x = 163,933,306,094.74
  5. Step 5: Solve for x
    x = 163,933,306,094.74/461,408.09
  6. Step 6: Final answer
    x = 355,289.19

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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.