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Finding the Fourth Proportional to 409,784.20, 614,676.30 and 344,830.30

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Solution

The fourth proportional to 409,784.20, 614,676.30 and 344,830.30 is: 517,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,784.20 : 614,676.30 = 344,830.30 : x
  2. Step 2: Convert to fraction form
    409,784.20/614,676.30 = 344,830.30/x
  3. Step 3: Cross multiply
    409,784.20x = 614,676.30 × 344,830.30
  4. Step 4: Simplify right side
    409,784.20x = 211,959,012,931.89
  5. Step 5: Solve for x
    x = 211,959,012,931.89/409,784.20
  6. Step 6: Final answer
    x = 517,245.45

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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.