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Finding the Fourth Proportional to 313,503.32, 432,813.89 and 206,384.74

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Solution

The fourth proportional to 313,503.32, 432,813.89 and 206,384.74 is: 284,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,503.32 : 432,813.89 = 206,384.74 : x
  2. Step 2: Convert to fraction form
    313,503.32/432,813.89 = 206,384.74/x
  3. Step 3: Cross multiply
    313,503.32x = 432,813.89 × 206,384.74
  4. Step 4: Simplify right side
    313,503.32x = 89,326,181,589.97
  5. Step 5: Solve for x
    x = 89,326,181,589.97/313,503.32
  6. Step 6: Final answer
    x = 284,928.98

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1.5x scale

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.