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Finding the Fourth Proportional to 411,671.20, 617,184.24 and 162,539.68

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Solution

The fourth proportional to 411,671.20, 617,184.24 and 162,539.68 is: 243,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,671.20 : 617,184.24 = 162,539.68 : x
  2. Step 2: Convert to fraction form
    411,671.20/617,184.24 = 162,539.68/x
  3. Step 3: Cross multiply
    411,671.20x = 617,184.24 × 162,539.68
  4. Step 4: Simplify right side
    411,671.20x = 100,316,928,870.64
  5. Step 5: Solve for x
    x = 100,316,928,870.64/411,671.20
  6. Step 6: Final answer
    x = 243,682.16

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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.