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Finding the Fourth Proportional to 305,666.56, 459,247.07 and 288,671.75

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Solution

The fourth proportional to 305,666.56, 459,247.07 and 288,671.75 is: 433,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,666.56 : 459,247.07 = 288,671.75 : x
  2. Step 2: Convert to fraction form
    305,666.56/459,247.07 = 288,671.75/x
  3. Step 3: Cross multiply
    305,666.56x = 459,247.07 × 288,671.75
  4. Step 4: Simplify right side
    305,666.56x = 132,571,653,903.11
  5. Step 5: Solve for x
    x = 132,571,653,903.11/305,666.56
  6. Step 6: Final answer
    x = 433,713.30

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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.