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Finding the Fourth Proportional to 419,324.01, 578,691.47 and 315,772.82

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Solution

The fourth proportional to 419,324.01, 578,691.47 and 315,772.82 is: 435,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,324.01 : 578,691.47 = 315,772.82 : x
  2. Step 2: Convert to fraction form
    419,324.01/578,691.47 = 315,772.82/x
  3. Step 3: Cross multiply
    419,324.01x = 578,691.47 × 315,772.82
  4. Step 4: Simplify right side
    419,324.01x = 182,735,037,391.85
  5. Step 5: Solve for x
    x = 182,735,037,391.85/419,324.01
  6. Step 6: Final answer
    x = 435,784.82

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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.