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Finding the Fourth Proportional to 470,796.34, 649,089.13 and 304,929.20

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Solution

The fourth proportional to 470,796.34, 649,089.13 and 304,929.20 is: 420,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,796.34 : 649,089.13 = 304,929.20 : x
  2. Step 2: Convert to fraction form
    470,796.34/649,089.13 = 304,929.20/x
  3. Step 3: Cross multiply
    470,796.34x = 649,089.13 × 304,929.20
  4. Step 4: Simplify right side
    470,796.34x = 197,926,229,139.60
  5. Step 5: Solve for x
    x = 197,926,229,139.60/470,796.34
  6. Step 6: Final answer
    x = 420,407.32

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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.