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Finding the Fourth Proportional to 411,415.68, 617,474.16 and 162,272.64

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Solution

The fourth proportional to 411,415.68, 617,474.16 and 162,272.64 is: 243,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,415.68 : 617,474.16 = 162,272.64 : x
  2. Step 2: Convert to fraction form
    411,415.68/617,474.16 = 162,272.64/x
  3. Step 3: Cross multiply
    411,415.68x = 617,474.16 × 162,272.64
  4. Step 4: Simplify right side
    411,415.68x = 100,199,162,074.98
  5. Step 5: Solve for x
    x = 100,199,162,074.98/411,415.68
  6. Step 6: Final answer
    x = 243,547.26

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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.