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Finding the Fourth Proportional to 516,406.94, 712,433.49 and 312,103.17

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Solution

The fourth proportional to 516,406.94, 712,433.49 and 312,103.17 is: 430,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,406.94 : 712,433.49 = 312,103.17 : x
  2. Step 2: Convert to fraction form
    516,406.94/712,433.49 = 312,103.17/x
  3. Step 3: Cross multiply
    516,406.94x = 712,433.49 × 312,103.17
  4. Step 4: Simplify right side
    516,406.94x = 222,352,750,643.16
  5. Step 5: Solve for x
    x = 222,352,750,643.16/516,406.94
  6. Step 6: Final answer
    x = 430,576.62

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1.5x scale

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.