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Finding the Fourth Proportional to 420,779.10, 580,679.78 and 229,798.11

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Solution

The fourth proportional to 420,779.10, 580,679.78 and 229,798.11 is: 317,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,779.10 : 580,679.78 = 229,798.11 : x
  2. Step 2: Convert to fraction form
    420,779.10/580,679.78 = 229,798.11/x
  3. Step 3: Cross multiply
    420,779.10x = 580,679.78 × 229,798.11
  4. Step 4: Simplify right side
    420,779.10x = 133,439,115,959.22
  5. Step 5: Solve for x
    x = 133,439,115,959.22/420,779.10
  6. Step 6: Final answer
    x = 317,123.92

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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.