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Finding the Fourth Proportional to 416,687.34, 574,505.91 and 340,128.66

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Solution

The fourth proportional to 416,687.34, 574,505.91 and 340,128.66 is: 468,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,687.34 : 574,505.91 = 340,128.66 : x
  2. Step 2: Convert to fraction form
    416,687.34/574,505.91 = 340,128.66/x
  3. Step 3: Cross multiply
    416,687.34x = 574,505.91 × 340,128.66
  4. Step 4: Simplify right side
    416,687.34x = 195,405,925,330.38
  5. Step 5: Solve for x
    x = 195,405,925,330.38/416,687.34
  6. Step 6: Final answer
    x = 468,950.95

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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.