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Finding the Fourth Proportional to 709,127.98, 978,599.82 and 386,837.08

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Solution

The fourth proportional to 709,127.98, 978,599.82 and 386,837.08 is: 533,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,127.98 : 978,599.82 = 386,837.08 : x
  2. Step 2: Convert to fraction form
    709,127.98/978,599.82 = 386,837.08/x
  3. Step 3: Cross multiply
    709,127.98x = 978,599.82 × 386,837.08
  4. Step 4: Simplify right side
    709,127.98x = 378,558,696,857.33
  5. Step 5: Solve for x
    x = 378,558,696,857.33/709,127.98
  6. Step 6: Final answer
    x = 533,836.92

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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.