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Finding the Fourth Proportional to 709,127.68, 978,764.16 and 407,496.64

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Solution

The fourth proportional to 709,127.68, 978,764.16 and 407,496.64 is: 562,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,127.68 : 978,764.16 = 407,496.64 : x
  2. Step 2: Convert to fraction form
    709,127.68/978,764.16 = 407,496.64/x
  3. Step 3: Cross multiply
    709,127.68x = 978,764.16 × 407,496.64
  4. Step 4: Simplify right side
    709,127.68x = 398,843,106,552.42
  5. Step 5: Solve for x
    x = 398,843,106,552.42/709,127.68
  6. Step 6: Final answer
    x = 562,441.88

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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.