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Finding the Fourth Proportional to 708,892.24, 978,232.81 and 402,926.16

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Solution

The fourth proportional to 708,892.24, 978,232.81 and 402,926.16 is: 556,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,892.24 : 978,232.81 = 402,926.16 : x
  2. Step 2: Convert to fraction form
    708,892.24/978,232.81 = 402,926.16/x
  3. Step 3: Cross multiply
    708,892.24x = 978,232.81 × 402,926.16
  4. Step 4: Simplify right side
    708,892.24x = 394,155,589,719.31
  5. Step 5: Solve for x
    x = 394,155,589,719.31/708,892.24
  6. Step 6: Final answer
    x = 556,016.23

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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.