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Finding the Fourth Proportional to 490,798.80, 735,323.40 and 401,569.20

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Solution

The fourth proportional to 490,798.80, 735,323.40 and 401,569.20 is: 601,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,798.80 : 735,323.40 = 401,569.20 : x
  2. Step 2: Convert to fraction form
    490,798.80/735,323.40 = 401,569.20/x
  3. Step 3: Cross multiply
    490,798.80x = 735,323.40 × 401,569.20
  4. Step 4: Simplify right side
    490,798.80x = 295,283,229,479.28
  5. Step 5: Solve for x
    x = 295,283,229,479.28/490,798.80
  6. Step 6: Final answer
    x = 601,638.04

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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.