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Finding the Fourth Proportional to 680,219.40, 1,021,114.80 and 365,291.40

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Solution

The fourth proportional to 680,219.40, 1,021,114.80 and 365,291.40 is: 548,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,219.40 : 1,021,114.80 = 365,291.40 : x
  2. Step 2: Convert to fraction form
    680,219.40/1,021,114.80 = 365,291.40/x
  3. Step 3: Cross multiply
    680,219.40x = 1,021,114.80 × 365,291.40
  4. Step 4: Simplify right side
    680,219.40x = 373,004,454,852.72
  5. Step 5: Solve for x
    x = 373,004,454,852.72/680,219.40
  6. Step 6: Final answer
    x = 548,359.04

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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.