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Finding the Fourth Proportional to 411,315.64, 617,065.70 and 145,078.36

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Solution

The fourth proportional to 411,315.64, 617,065.70 and 145,078.36 is: 217,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,315.64 : 617,065.70 = 145,078.36 : x
  2. Step 2: Convert to fraction form
    411,315.64/617,065.70 = 145,078.36/x
  3. Step 3: Cross multiply
    411,315.64x = 617,065.70 × 145,078.36
  4. Step 4: Simplify right side
    411,315.64x = 89,522,877,500.20
  5. Step 5: Solve for x
    x = 89,522,877,500.20/411,315.64
  6. Step 6: Final answer
    x = 217,650.07

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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.