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Finding the Fourth Proportional to 419,123.43, 578,403.08 and 296,834.90

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Solution

The fourth proportional to 419,123.43, 578,403.08 and 296,834.90 is: 409,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,123.43 : 578,403.08 = 296,834.90 : x
  2. Step 2: Convert to fraction form
    419,123.43/578,403.08 = 296,834.90/x
  3. Step 3: Cross multiply
    419,123.43x = 578,403.08 × 296,834.90
  4. Step 4: Simplify right side
    419,123.43x = 171,690,216,035.30
  5. Step 5: Solve for x
    x = 171,690,216,035.30/419,123.43
  6. Step 6: Final answer
    x = 409,641.18

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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.