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Finding the Fourth Proportional to 489,782.20, 734,673.30 and 418,923.40

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Solution

The fourth proportional to 489,782.20, 734,673.30 and 418,923.40 is: 628,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,782.20 : 734,673.30 = 418,923.40 : x
  2. Step 2: Convert to fraction form
    489,782.20/734,673.30 = 418,923.40/x
  3. Step 3: Cross multiply
    489,782.20x = 734,673.30 × 418,923.40
  4. Step 4: Simplify right side
    489,782.20x = 307,771,836,725.22
  5. Step 5: Solve for x
    x = 307,771,836,725.22/489,782.20
  6. Step 6: Final answer
    x = 628,385.10

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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.