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Finding the Fourth Proportional to 684,862.87, 945,490.85 and 412,999.64

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Solution

The fourth proportional to 684,862.87, 945,490.85 and 412,999.64 is: 570,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,862.87 : 945,490.85 = 412,999.64 : x
  2. Step 2: Convert to fraction form
    684,862.87/945,490.85 = 412,999.64/x
  3. Step 3: Cross multiply
    684,862.87x = 945,490.85 × 412,999.64
  4. Step 4: Simplify right side
    684,862.87x = 390,487,380,673.29
  5. Step 5: Solve for x
    x = 390,487,380,673.29/684,862.87
  6. Step 6: Final answer
    x = 570,168.71

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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.