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Finding the Fourth Proportional to 516,672.36, 713,071.62 and 290,313

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Solution

The fourth proportional to 516,672.36, 713,071.62 and 290,313 is: 400,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,672.36 : 713,071.62 = 290,313 : x
  2. Step 2: Convert to fraction form
    516,672.36/713,071.62 = 290,313/x
  3. Step 3: Cross multiply
    516,672.36x = 713,071.62 × 290,313
  4. Step 4: Simplify right side
    516,672.36x = 207,013,961,217.06
  5. Step 5: Solve for x
    x = 207,013,961,217.06/516,672.36
  6. Step 6: Final answer
    x = 400,667.77

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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.