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Finding the Fourth Proportional to 443,670.90, 665,506.35 and 406,929.30

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Solution

The fourth proportional to 443,670.90, 665,506.35 and 406,929.30 is: 610,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,670.90 : 665,506.35 = 406,929.30 : x
  2. Step 2: Convert to fraction form
    443,670.90/665,506.35 = 406,929.30/x
  3. Step 3: Cross multiply
    443,670.90x = 665,506.35 × 406,929.30
  4. Step 4: Simplify right side
    443,670.90x = 270,814,033,151.06
  5. Step 5: Solve for x
    x = 270,814,033,151.06/443,670.90
  6. Step 6: Final answer
    x = 610,393.95

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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.