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Finding the Fourth Proportional to 413,240.40, 570,329.30 and 229,520.25

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Solution

The fourth proportional to 413,240.40, 570,329.30 and 229,520.25 is: 316,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,240.40 : 570,329.30 = 229,520.25 : x
  2. Step 2: Convert to fraction form
    413,240.40/570,329.30 = 229,520.25/x
  3. Step 3: Cross multiply
    413,240.40x = 570,329.30 × 229,520.25
  4. Step 4: Simplify right side
    413,240.40x = 130,902,124,092.13
  5. Step 5: Solve for x
    x = 130,902,124,092.13/413,240.40
  6. Step 6: Final answer
    x = 316,769.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.