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Finding the Fourth Proportional to 478,146.10, 716,739.94 and 222,158.51

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Solution

The fourth proportional to 478,146.10, 716,739.94 and 222,158.51 is: 333,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,146.10 : 716,739.94 = 222,158.51 : x
  2. Step 2: Convert to fraction form
    478,146.10/716,739.94 = 222,158.51/x
  3. Step 3: Cross multiply
    478,146.10x = 716,739.94 × 222,158.51
  4. Step 4: Simplify right side
    478,146.10x = 159,229,877,127.89
  5. Step 5: Solve for x
    x = 159,229,877,127.89/478,146.10
  6. Step 6: Final answer
    x = 333,015.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.