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Finding the Fourth Proportional to 521,678.68, 719,924.04 and 303,881.76

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Solution

The fourth proportional to 521,678.68, 719,924.04 and 303,881.76 is: 419,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,678.68 : 719,924.04 = 303,881.76 : x
  2. Step 2: Convert to fraction form
    521,678.68/719,924.04 = 303,881.76/x
  3. Step 3: Cross multiply
    521,678.68x = 719,924.04 × 303,881.76
  4. Step 4: Simplify right side
    521,678.68x = 218,771,784,341.51
  5. Step 5: Solve for x
    x = 218,771,784,341.51/521,678.68
  6. Step 6: Final answer
    x = 419,361.18

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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.