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Finding the Fourth Proportional to 521,342.51, 719,463.60 and 294,988.01

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Solution

The fourth proportional to 521,342.51, 719,463.60 and 294,988.01 is: 407,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,342.51 : 719,463.60 = 294,988.01 : x
  2. Step 2: Convert to fraction form
    521,342.51/719,463.60 = 294,988.01/x
  3. Step 3: Cross multiply
    521,342.51x = 719,463.60 × 294,988.01
  4. Step 4: Simplify right side
    521,342.51x = 212,233,132,034.12
  5. Step 5: Solve for x
    x = 212,233,132,034.12/521,342.51
  6. Step 6: Final answer
    x = 407,089.64

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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.