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Finding the Fourth Proportional to 412,314.35, 617,943 and 358,783.88

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Solution

The fourth proportional to 412,314.35, 617,943 and 358,783.88 is: 537,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,314.35 : 617,943 = 358,783.88 : x
  2. Step 2: Convert to fraction form
    412,314.35/617,943 = 358,783.88/x
  3. Step 3: Cross multiply
    412,314.35x = 617,943 × 358,783.88
  4. Step 4: Simplify right side
    412,314.35x = 221,707,987,158.84
  5. Step 5: Solve for x
    x = 221,707,987,158.84/412,314.35
  6. Step 6: Final answer
    x = 537,715.91

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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.