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Finding the Fourth Proportional to 423,326.66, 634,965.37 and 309,589.67

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Solution

The fourth proportional to 423,326.66, 634,965.37 and 309,589.67 is: 464,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,326.66 : 634,965.37 = 309,589.67 : x
  2. Step 2: Convert to fraction form
    423,326.66/634,965.37 = 309,589.67/x
  3. Step 3: Cross multiply
    423,326.66x = 634,965.37 × 309,589.67
  4. Step 4: Simplify right side
    423,326.66x = 196,578,720,173.17
  5. Step 5: Solve for x
    x = 196,578,720,173.17/423,326.66
  6. Step 6: Final answer
    x = 464,366.51

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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.