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Finding the Fourth Proportional to 420,696.48, 580,561.86 and 229,705.80

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Solution

The fourth proportional to 420,696.48, 580,561.86 and 229,705.80 is: 316,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,696.48 : 580,561.86 = 229,705.80 : x
  2. Step 2: Convert to fraction form
    420,696.48/580,561.86 = 229,705.80/x
  3. Step 3: Cross multiply
    420,696.48x = 580,561.86 × 229,705.80
  4. Step 4: Simplify right side
    420,696.48x = 133,358,426,500.79
  5. Step 5: Solve for x
    x = 133,358,426,500.79/420,696.48
  6. Step 6: Final answer
    x = 316,994.40

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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.