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Finding the Fourth Proportional to 492,980.04, 680,727.36 and 312,011.28

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Solution

The fourth proportional to 492,980.04, 680,727.36 and 312,011.28 is: 430,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,980.04 : 680,727.36 = 312,011.28 : x
  2. Step 2: Convert to fraction form
    492,980.04/680,727.36 = 312,011.28/x
  3. Step 3: Cross multiply
    492,980.04x = 680,727.36 × 312,011.28
  4. Step 4: Simplify right side
    492,980.04x = 212,394,614,924.62
  5. Step 5: Solve for x
    x = 212,394,614,924.62/492,980.04
  6. Step 6: Final answer
    x = 430,838.16

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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.