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Finding the Fourth Proportional to 412,315.86, 617,945.24 and 358,785.38

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Solution

The fourth proportional to 412,315.86, 617,945.24 and 358,785.38 is: 537,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,315.86 : 617,945.24 = 358,785.38 : x
  2. Step 2: Convert to fraction form
    412,315.86/617,945.24 = 358,785.38/x
  3. Step 3: Cross multiply
    412,315.86x = 617,945.24 × 358,785.38
  4. Step 4: Simplify right side
    412,315.86x = 221,709,717,752.59
  5. Step 5: Solve for x
    x = 221,709,717,752.59/412,315.86
  6. Step 6: Final answer
    x = 537,718.14

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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.