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Finding the Fourth Proportional to 463,438.56, 639,527.46 and 259,470.40

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Solution

The fourth proportional to 463,438.56, 639,527.46 and 259,470.40 is: 358,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,438.56 : 639,527.46 = 259,470.40 : x
  2. Step 2: Convert to fraction form
    463,438.56/639,527.46 = 259,470.40/x
  3. Step 3: Cross multiply
    463,438.56x = 639,527.46 × 259,470.40
  4. Step 4: Simplify right side
    463,438.56x = 165,938,445,857.18
  5. Step 5: Solve for x
    x = 165,938,445,857.18/463,438.56
  6. Step 6: Final answer
    x = 358,059.21

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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.