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Finding the Fourth Proportional to 420,239, 579,929.82 and 229,253.16

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Solution

The fourth proportional to 420,239, 579,929.82 and 229,253.16 is: 316,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,239 : 579,929.82 = 229,253.16 : x
  2. Step 2: Convert to fraction form
    420,239/579,929.82 = 229,253.16/x
  3. Step 3: Cross multiply
    420,239x = 579,929.82 × 229,253.16
  4. Step 4: Simplify right side
    420,239x = 132,950,743,813.23
  5. Step 5: Solve for x
    x = 132,950,743,813.23/420,239
  6. Step 6: Final answer
    x = 316,369.36

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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.