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Finding the Fourth Proportional to 419,278.09, 578,777.64 and 317,332

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Solution

The fourth proportional to 419,278.09, 578,777.64 and 317,332 is: 438,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,278.09 : 578,777.64 = 317,332 : x
  2. Step 2: Convert to fraction form
    419,278.09/578,777.64 = 317,332/x
  3. Step 3: Cross multiply
    419,278.09x = 578,777.64 × 317,332
  4. Step 4: Simplify right side
    419,278.09x = 183,664,666,056.48
  5. Step 5: Solve for x
    x = 183,664,666,056.48/419,278.09
  6. Step 6: Final answer
    x = 438,049.76

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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.