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Finding the Fourth Proportional to 461,463.93, 636,819 and 257,512.68

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Solution

The fourth proportional to 461,463.93, 636,819 and 257,512.68 is: 355,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,463.93 : 636,819 = 257,512.68 : x
  2. Step 2: Convert to fraction form
    461,463.93/636,819 = 257,512.68/x
  3. Step 3: Cross multiply
    461,463.93x = 636,819 × 257,512.68
  4. Step 4: Simplify right side
    461,463.93x = 163,988,967,364.92
  5. Step 5: Solve for x
    x = 163,988,967,364.92/461,463.93
  6. Step 6: Final answer
    x = 355,366.82

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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.