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Finding the Fourth Proportional to 429,827.40, 645,429.60 and 341,812.80

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Solution

The fourth proportional to 429,827.40, 645,429.60 and 341,812.80 is: 513,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,827.40 : 645,429.60 = 341,812.80 : x
  2. Step 2: Convert to fraction form
    429,827.40/645,429.60 = 341,812.80/x
  3. Step 3: Cross multiply
    429,827.40x = 645,429.60 × 341,812.80
  4. Step 4: Simplify right side
    429,827.40x = 220,616,098,778.88
  5. Step 5: Solve for x
    x = 220,616,098,778.88/429,827.40
  6. Step 6: Final answer
    x = 513,266.72

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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.