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Finding the Fourth Proportional to 420,406.96, 580,158.48 and 229,416.16

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Solution

The fourth proportional to 420,406.96, 580,158.48 and 229,416.16 is: 316,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,406.96 : 580,158.48 = 229,416.16 : x
  2. Step 2: Convert to fraction form
    420,406.96/580,158.48 = 229,416.16/x
  3. Step 3: Cross multiply
    420,406.96x = 580,158.48 × 229,416.16
  4. Step 4: Simplify right side
    420,406.96x = 133,097,730,673.04
  5. Step 5: Solve for x
    x = 133,097,730,673.04/420,406.96
  6. Step 6: Final answer
    x = 316,592.60

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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.