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Finding the Fourth Proportional to 457,661.90, 631,824.80 and 312,685.67

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Solution

The fourth proportional to 457,661.90, 631,824.80 and 312,685.67 is: 431,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,661.90 : 631,824.80 = 312,685.67 : x
  2. Step 2: Convert to fraction form
    457,661.90/631,824.80 = 312,685.67/x
  3. Step 3: Cross multiply
    457,661.90x = 631,824.80 × 312,685.67
  4. Step 4: Simplify right side
    457,661.90x = 197,562,558,252.16
  5. Step 5: Solve for x
    x = 197,562,558,252.16/457,661.90
  6. Step 6: Final answer
    x = 431,677.97

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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.