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Finding the Fourth Proportional to 420,007.40, 579,610.50 and 229,021.16

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Solution

The fourth proportional to 420,007.40, 579,610.50 and 229,021.16 is: 316,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,007.40 : 579,610.50 = 229,021.16 : x
  2. Step 2: Convert to fraction form
    420,007.40/579,610.50 = 229,021.16/x
  3. Step 3: Cross multiply
    420,007.40x = 579,610.50 × 229,021.16
  4. Step 4: Simplify right side
    420,007.40x = 132,743,069,058.18
  5. Step 5: Solve for x
    x = 132,743,069,058.18/420,007.40
  6. Step 6: Final answer
    x = 316,049.36

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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.