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Finding the Fourth Proportional to 708,813.08, 978,186.57 and 402,902.27

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Solution

The fourth proportional to 708,813.08, 978,186.57 and 402,902.27 is: 556,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,813.08 : 978,186.57 = 402,902.27 : x
  2. Step 2: Convert to fraction form
    708,813.08/978,186.57 = 402,902.27/x
  3. Step 3: Cross multiply
    708,813.08x = 978,186.57 × 402,902.27
  4. Step 4: Simplify right side
    708,813.08x = 394,113,589,536.51
  5. Step 5: Solve for x
    x = 394,113,589,536.51/708,813.08
  6. Step 6: Final answer
    x = 556,019.07

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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.