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Finding the Fourth Proportional to 420,309.54, 630,893.19 and 307,655.13

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Solution

The fourth proportional to 420,309.54, 630,893.19 and 307,655.13 is: 461,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,309.54 : 630,893.19 = 307,655.13 : x
  2. Step 2: Convert to fraction form
    420,309.54/630,893.19 = 307,655.13/x
  3. Step 3: Cross multiply
    420,309.54x = 630,893.19 × 307,655.13
  4. Step 4: Simplify right side
    420,309.54x = 194,097,526,385.57
  5. Step 5: Solve for x
    x = 194,097,526,385.57/420,309.54
  6. Step 6: Final answer
    x = 461,796.62

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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.