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Finding the Fourth Proportional to 475,989.28, 713,011.92 and 265,739.20

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Solution

The fourth proportional to 475,989.28, 713,011.92 and 265,739.20 is: 398,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,989.28 : 713,011.92 = 265,739.20 : x
  2. Step 2: Convert to fraction form
    475,989.28/713,011.92 = 265,739.20/x
  3. Step 3: Cross multiply
    475,989.28x = 713,011.92 × 265,739.20
  4. Step 4: Simplify right side
    475,989.28x = 189,475,217,211.26
  5. Step 5: Solve for x
    x = 189,475,217,211.26/475,989.28
  6. Step 6: Final answer
    x = 398,066.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.