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Finding the Fourth Proportional to 416,421.20, 624,369.35 and 353,263.47

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Solution

The fourth proportional to 416,421.20, 624,369.35 and 353,263.47 is: 529,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,421.20 : 624,369.35 = 353,263.47 : x
  2. Step 2: Convert to fraction form
    416,421.20/624,369.35 = 353,263.47/x
  3. Step 3: Cross multiply
    416,421.20x = 624,369.35 × 353,263.47
  4. Step 4: Simplify right side
    416,421.20x = 220,566,883,142.64
  5. Step 5: Solve for x
    x = 220,566,883,142.64/416,421.20
  6. Step 6: Final answer
    x = 529,672.56

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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.