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Finding the Fourth Proportional to 708,723.96, 978,276.06 and 422,333.88

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Solution

The fourth proportional to 708,723.96, 978,276.06 and 422,333.88 is: 582,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,723.96 : 978,276.06 = 422,333.88 : x
  2. Step 2: Convert to fraction form
    708,723.96/978,276.06 = 422,333.88/x
  3. Step 3: Cross multiply
    708,723.96x = 978,276.06 × 422,333.88
  4. Step 4: Simplify right side
    708,723.96x = 413,159,124,130.91
  5. Step 5: Solve for x
    x = 413,159,124,130.91/708,723.96
  6. Step 6: Final answer
    x = 582,961.98

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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.