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Finding the Fourth Proportional to 420,229, 579,916.02 and 229,243.15

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Solution

The fourth proportional to 420,229, 579,916.02 and 229,243.15 is: 316,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,229 : 579,916.02 = 229,243.15 : x
  2. Step 2: Convert to fraction form
    420,229/579,916.02 = 229,243.15/x
  3. Step 3: Cross multiply
    420,229x = 579,916.02 × 229,243.15
  4. Step 4: Simplify right side
    420,229x = 132,941,775,160.26
  5. Step 5: Solve for x
    x = 132,941,775,160.26/420,229
  6. Step 6: Final answer
    x = 316,355.55

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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.