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Finding the Fourth Proportional to 457,651.17, 631,809.96 and 312,674.94

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Solution

The fourth proportional to 457,651.17, 631,809.96 and 312,674.94 is: 431,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,651.17 : 631,809.96 = 312,674.94 : x
  2. Step 2: Convert to fraction form
    457,651.17/631,809.96 = 312,674.94/x
  3. Step 3: Cross multiply
    457,651.17x = 631,809.96 × 312,674.94
  4. Step 4: Simplify right side
    457,651.17x = 197,551,141,334.40
  5. Step 5: Solve for x
    x = 197,551,141,334.40/457,651.17
  6. Step 6: Final answer
    x = 431,663.14

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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.