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Finding the Fourth Proportional to 431,360.80, 647,041.20 and 405,116.80

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Solution

The fourth proportional to 431,360.80, 647,041.20 and 405,116.80 is: 607,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,360.80 : 647,041.20 = 405,116.80 : x
  2. Step 2: Convert to fraction form
    431,360.80/647,041.20 = 405,116.80/x
  3. Step 3: Cross multiply
    431,360.80x = 647,041.20 × 405,116.80
  4. Step 4: Simplify right side
    431,360.80x = 262,127,260,412.16
  5. Step 5: Solve for x
    x = 262,127,260,412.16/431,360.80
  6. Step 6: Final answer
    x = 607,675.20

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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.