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Finding the Fourth Proportional to 420,357.71, 580,107.63 and 229,381.58

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Solution

The fourth proportional to 420,357.71, 580,107.63 and 229,381.58 is: 316,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,357.71 : 580,107.63 = 229,381.58 : x
  2. Step 2: Convert to fraction form
    420,357.71/580,107.63 = 229,381.58/x
  3. Step 3: Cross multiply
    420,357.71x = 580,107.63 × 229,381.58
  4. Step 4: Simplify right side
    420,357.71x = 133,066,001,838.92
  5. Step 5: Solve for x
    x = 133,066,001,838.92/420,357.71
  6. Step 6: Final answer
    x = 316,554.21

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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.