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Finding the Fourth Proportional to 343,398.40, 515,097.60 and 318,515.20

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Solution

The fourth proportional to 343,398.40, 515,097.60 and 318,515.20 is: 477,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,398.40 : 515,097.60 = 318,515.20 : x
  2. Step 2: Convert to fraction form
    343,398.40/515,097.60 = 318,515.20/x
  3. Step 3: Cross multiply
    343,398.40x = 515,097.60 × 318,515.20
  4. Step 4: Simplify right side
    343,398.40x = 164,066,415,083.52
  5. Step 5: Solve for x
    x = 164,066,415,083.52/343,398.40
  6. Step 6: Final answer
    x = 477,772.80

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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.