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Finding the Fourth Proportional to 709,055.03, 978,471.74 and 422,569.91

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Solution

The fourth proportional to 709,055.03, 978,471.74 and 422,569.91 is: 583,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,055.03 : 978,471.74 = 422,569.91 : x
  2. Step 2: Convert to fraction form
    709,055.03/978,471.74 = 422,569.91/x
  3. Step 3: Cross multiply
    709,055.03x = 978,471.74 × 422,569.91
  4. Step 4: Simplify right side
    709,055.03x = 413,472,708,104.14
  5. Step 5: Solve for x
    x = 413,472,708,104.14/709,055.03
  6. Step 6: Final answer
    x = 583,132.05

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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.