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Finding the Fourth Proportional to 709,087.98, 978,547.65 and 386,799.54

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Solution

The fourth proportional to 709,087.98, 978,547.65 and 386,799.54 is: 533,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,087.98 : 978,547.65 = 386,799.54 : x
  2. Step 2: Convert to fraction form
    709,087.98/978,547.65 = 386,799.54/x
  3. Step 3: Cross multiply
    709,087.98x = 978,547.65 × 386,799.54
  4. Step 4: Simplify right side
    709,087.98x = 378,501,780,888.08
  5. Step 5: Solve for x
    x = 378,501,780,888.08/709,087.98
  6. Step 6: Final answer
    x = 533,786.77

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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.