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Finding the Fourth Proportional to 420,779.60, 580,680.47 and 229,798.61

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Solution

The fourth proportional to 420,779.60, 580,680.47 and 229,798.61 is: 317,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,779.60 : 580,680.47 = 229,798.61 : x
  2. Step 2: Convert to fraction form
    420,779.60/580,680.47 = 229,798.61/x
  3. Step 3: Cross multiply
    420,779.60x = 580,680.47 × 229,798.61
  4. Step 4: Simplify right side
    420,779.60x = 133,439,564,860.15
  5. Step 5: Solve for x
    x = 133,439,564,860.15/420,779.60
  6. Step 6: Final answer
    x = 317,124.61

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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.