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Finding the Fourth Proportional to 489,043.10, 733,564.65 and 330,412.70

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Solution

The fourth proportional to 489,043.10, 733,564.65 and 330,412.70 is: 495,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,043.10 : 733,564.65 = 330,412.70 : x
  2. Step 2: Convert to fraction form
    489,043.10/733,564.65 = 330,412.70/x
  3. Step 3: Cross multiply
    489,043.10x = 733,564.65 × 330,412.70
  4. Step 4: Simplify right side
    489,043.10x = 242,379,076,631.06
  5. Step 5: Solve for x
    x = 242,379,076,631.06/489,043.10
  6. Step 6: Final answer
    x = 495,619.05

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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.