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Finding the Fourth Proportional to 509,756.28, 763,584.48 and 298,885.74

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Solution

The fourth proportional to 509,756.28, 763,584.48 and 298,885.74 is: 447,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,756.28 : 763,584.48 = 298,885.74 : x
  2. Step 2: Convert to fraction form
    509,756.28/763,584.48 = 298,885.74/x
  3. Step 3: Cross multiply
    509,756.28x = 763,584.48 × 298,885.74
  4. Step 4: Simplify right side
    509,756.28x = 228,224,512,357.32
  5. Step 5: Solve for x
    x = 228,224,512,357.32/509,756.28
  6. Step 6: Final answer
    x = 447,713.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.