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Finding the Fourth Proportional to 343,406.40, 515,109.60 and 318,523.20

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Solution

The fourth proportional to 343,406.40, 515,109.60 and 318,523.20 is: 477,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,406.40 : 515,109.60 = 318,523.20 : x
  2. Step 2: Convert to fraction form
    343,406.40/515,109.60 = 318,523.20/x
  3. Step 3: Cross multiply
    343,406.40x = 515,109.60 × 318,523.20
  4. Step 4: Simplify right side
    343,406.40x = 164,074,358,142.72
  5. Step 5: Solve for x
    x = 164,074,358,142.72/343,406.40
  6. Step 6: Final answer
    x = 477,784.80

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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.