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Finding the Fourth Proportional to 470,135.68, 648,696 and 279,208.96

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Solution

The fourth proportional to 470,135.68, 648,696 and 279,208.96 is: 385,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,135.68 : 648,696 = 279,208.96 : x
  2. Step 2: Convert to fraction form
    470,135.68/648,696 = 279,208.96/x
  3. Step 3: Cross multiply
    470,135.68x = 648,696 × 279,208.96
  4. Step 4: Simplify right side
    470,135.68x = 181,121,735,516.16
  5. Step 5: Solve for x
    x = 181,121,735,516.16/470,135.68
  6. Step 6: Final answer
    x = 385,254.18

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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.