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Finding the Fourth Proportional to 470,808.51, 649,105.90 and 304,941.36

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Solution

The fourth proportional to 470,808.51, 649,105.90 and 304,941.36 is: 420,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,808.51 : 649,105.90 = 304,941.36 : x
  2. Step 2: Convert to fraction form
    470,808.51/649,105.90 = 304,941.36/x
  3. Step 3: Cross multiply
    470,808.51x = 649,105.90 × 304,941.36
  4. Step 4: Simplify right side
    470,808.51x = 197,939,235,167.67
  5. Step 5: Solve for x
    x = 197,939,235,167.67/470,808.51
  6. Step 6: Final answer
    x = 420,424.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.