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Finding the Fourth Proportional to 430,830.90, 646,246.35 and 341,601.30

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Solution

The fourth proportional to 430,830.90, 646,246.35 and 341,601.30 is: 512,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,830.90 : 646,246.35 = 341,601.30 : x
  2. Step 2: Convert to fraction form
    430,830.90/646,246.35 = 341,601.30/x
  3. Step 3: Cross multiply
    430,830.90x = 646,246.35 × 341,601.30
  4. Step 4: Simplify right side
    430,830.90x = 220,758,593,280.26
  5. Step 5: Solve for x
    x = 220,758,593,280.26/430,830.90
  6. Step 6: Final answer
    x = 512,401.95

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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.