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Finding the Fourth Proportional to 708,705.58, 978,125.88 and 422,391.74

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Solution

The fourth proportional to 708,705.58, 978,125.88 and 422,391.74 is: 582,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,705.58 : 978,125.88 = 422,391.74 : x
  2. Step 2: Convert to fraction form
    708,705.58/978,125.88 = 422,391.74/x
  3. Step 3: Cross multiply
    708,705.58x = 978,125.88 × 422,391.74
  4. Step 4: Simplify right side
    708,705.58x = 413,152,292,392.23
  5. Step 5: Solve for x
    x = 413,152,292,392.23/708,705.58
  6. Step 6: Final answer
    x = 582,967.46

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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.