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Finding the Fourth Proportional to 419,715.19, 579,042.52 and 258,289.98

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Solution

The fourth proportional to 419,715.19, 579,042.52 and 258,289.98 is: 356,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.19 : 579,042.52 = 258,289.98 : x
  2. Step 2: Convert to fraction form
    419,715.19/579,042.52 = 258,289.98/x
  3. Step 3: Cross multiply
    419,715.19x = 579,042.52 × 258,289.98
  4. Step 4: Simplify right side
    419,715.19x = 149,560,882,802.81
  5. Step 5: Solve for x
    x = 149,560,882,802.81/419,715.19
  6. Step 6: Final answer
    x = 356,338.98

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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.