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Finding the Fourth Proportional to 470,133.68, 648,693.24 and 279,206.96

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Solution

The fourth proportional to 470,133.68, 648,693.24 and 279,206.96 is: 385,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,133.68 : 648,693.24 = 279,206.96 : x
  2. Step 2: Convert to fraction form
    470,133.68/648,693.24 = 279,206.96/x
  3. Step 3: Cross multiply
    470,133.68x = 648,693.24 × 279,206.96
  4. Step 4: Simplify right side
    470,133.68x = 181,119,667,512.95
  5. Step 5: Solve for x
    x = 181,119,667,512.95/470,133.68
  6. Step 6: Final answer
    x = 385,251.42

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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.