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Finding the Fourth Proportional to 708,720.96, 978,271.92 and 422,330.88

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Solution

The fourth proportional to 708,720.96, 978,271.92 and 422,330.88 is: 582,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,720.96 : 978,271.92 = 422,330.88 : x
  2. Step 2: Convert to fraction form
    708,720.96/978,271.92 = 422,330.88/x
  3. Step 3: Cross multiply
    708,720.96x = 978,271.92 × 422,330.88
  4. Step 4: Simplify right side
    708,720.96x = 413,154,440,852.89
  5. Step 5: Solve for x
    x = 413,154,440,852.89/708,720.96
  6. Step 6: Final answer
    x = 582,957.84

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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.