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Finding the Fourth Proportional to 709,039.62, 978,477.66 and 386,756.64

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Solution

The fourth proportional to 709,039.62, 978,477.66 and 386,756.64 is: 533,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,039.62 : 978,477.66 = 386,756.64 : x
  2. Step 2: Convert to fraction form
    709,039.62/978,477.66 = 386,756.64/x
  3. Step 3: Cross multiply
    709,039.62x = 978,477.66 × 386,756.64
  4. Step 4: Simplify right side
    709,039.62x = 378,432,732,096.66
  5. Step 5: Solve for x
    x = 378,432,732,096.66/709,039.62
  6. Step 6: Final answer
    x = 533,725.79

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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.