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Finding the Fourth Proportional to 431,859.44, 596,697 and 310,761.20

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Solution

The fourth proportional to 431,859.44, 596,697 and 310,761.20 is: 429,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,859.44 : 596,697 = 310,761.20 : x
  2. Step 2: Convert to fraction form
    431,859.44/596,697 = 310,761.20/x
  3. Step 3: Cross multiply
    431,859.44x = 596,697 × 310,761.20
  4. Step 4: Simplify right side
    431,859.44x = 185,430,275,756.40
  5. Step 5: Solve for x
    x = 185,430,275,756.40/431,859.44
  6. Step 6: Final answer
    x = 429,376.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.