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Finding the Fourth Proportional to 684,775.79, 945,293.29 and 409,230.90

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Solution

The fourth proportional to 684,775.79, 945,293.29 and 409,230.90 is: 564,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,775.79 : 945,293.29 = 409,230.90 : x
  2. Step 2: Convert to fraction form
    684,775.79/945,293.29 = 409,230.90/x
  3. Step 3: Cross multiply
    684,775.79x = 945,293.29 × 409,230.90
  4. Step 4: Simplify right side
    684,775.79x = 386,843,222,807.58
  5. Step 5: Solve for x
    x = 386,843,222,807.58/684,775.79
  6. Step 6: Final answer
    x = 564,919.54

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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.