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Finding the Fourth Proportional to 420,368.80, 580,098 and 229,384.48

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Solution

The fourth proportional to 420,368.80, 580,098 and 229,384.48 is: 316,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,368.80 : 580,098 = 229,384.48 : x
  2. Step 2: Convert to fraction form
    420,368.80/580,098 = 229,384.48/x
  3. Step 3: Cross multiply
    420,368.80x = 580,098 × 229,384.48
  4. Step 4: Simplify right side
    420,368.80x = 133,065,478,079.04
  5. Step 5: Solve for x
    x = 133,065,478,079.04/420,368.80
  6. Step 6: Final answer
    x = 316,544.61

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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.