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Finding the Fourth Proportional to 470,420.66, 649,236.16 and 279,434.81

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Solution

The fourth proportional to 470,420.66, 649,236.16 and 279,434.81 is: 385,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,420.66 : 649,236.16 = 279,434.81 : x
  2. Step 2: Convert to fraction form
    470,420.66/649,236.16 = 279,434.81/x
  3. Step 3: Cross multiply
    470,420.66x = 649,236.16 × 279,434.81
  4. Step 4: Simplify right side
    470,420.66x = 181,419,184,987.11
  5. Step 5: Solve for x
    x = 181,419,184,987.11/470,420.66
  6. Step 6: Final answer
    x = 385,653.10

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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.