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Finding the Fourth Proportional to 381,347.57, 571,797.06 and 144,706.88

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Solution

The fourth proportional to 381,347.57, 571,797.06 and 144,706.88 is: 216,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,347.57 : 571,797.06 = 144,706.88 : x
  2. Step 2: Convert to fraction form
    381,347.57/571,797.06 = 144,706.88/x
  3. Step 3: Cross multiply
    381,347.57x = 571,797.06 × 144,706.88
  4. Step 4: Simplify right side
    381,347.57x = 82,742,968,545.77
  5. Step 5: Solve for x
    x = 82,742,968,545.77/381,347.57
  6. Step 6: Final answer
    x = 216,975.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.