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Finding the Fourth Proportional to 521,343.51, 719,464.98 and 294,989.01

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Solution

The fourth proportional to 521,343.51, 719,464.98 and 294,989.01 is: 407,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,343.51 : 719,464.98 = 294,989.01 : x
  2. Step 2: Convert to fraction form
    521,343.51/719,464.98 = 294,989.01/x
  3. Step 3: Cross multiply
    521,343.51x = 719,464.98 × 294,989.01
  4. Step 4: Simplify right side
    521,343.51x = 212,234,262,179.87
  5. Step 5: Solve for x
    x = 212,234,262,179.87/521,343.51
  6. Step 6: Final answer
    x = 407,091.02

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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.