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Finding the Fourth Proportional to 426,405.24, 639,942.24 and 297,483.12

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Solution

The fourth proportional to 426,405.24, 639,942.24 and 297,483.12 is: 446,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,405.24 : 639,942.24 = 297,483.12 : x
  2. Step 2: Convert to fraction form
    426,405.24/639,942.24 = 297,483.12/x
  3. Step 3: Cross multiply
    426,405.24x = 639,942.24 × 297,483.12
  4. Step 4: Simplify right side
    426,405.24x = 190,372,014,174.99
  5. Step 5: Solve for x
    x = 190,372,014,174.99/426,405.24
  6. Step 6: Final answer
    x = 446,457.96

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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.