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Finding the Fourth Proportional to 381,535.65, 572,303.07 and 144,877.95

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Solution

The fourth proportional to 381,535.65, 572,303.07 and 144,877.95 is: 217,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,535.65 : 572,303.07 = 144,877.95 : x
  2. Step 2: Convert to fraction form
    381,535.65/572,303.07 = 144,877.95/x
  3. Step 3: Cross multiply
    381,535.65x = 572,303.07 × 144,877.95
  4. Step 4: Simplify right side
    381,535.65x = 82,914,095,560.31
  5. Step 5: Solve for x
    x = 82,914,095,560.31/381,535.65
  6. Step 6: Final answer
    x = 217,316.77

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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.