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Finding the Fourth Proportional to 315,709.98, 475,696.26 and 260,780.64

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Solution

The fourth proportional to 315,709.98, 475,696.26 and 260,780.64 is: 392,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,709.98 : 475,696.26 = 260,780.64 : x
  2. Step 2: Convert to fraction form
    315,709.98/475,696.26 = 260,780.64/x
  3. Step 3: Cross multiply
    315,709.98x = 475,696.26 × 260,780.64
  4. Step 4: Simplify right side
    315,709.98x = 124,052,375,128.41
  5. Step 5: Solve for x
    x = 124,052,375,128.41/315,709.98
  6. Step 6: Final answer
    x = 392,931.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.