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Finding the Fourth Proportional to 411,838.32, 617,763.56 and 162,518

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Solution

The fourth proportional to 411,838.32, 617,763.56 and 162,518 is: 243,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,838.32 : 617,763.56 = 162,518 : x
  2. Step 2: Convert to fraction form
    411,838.32/617,763.56 = 162,518/x
  3. Step 3: Cross multiply
    411,838.32x = 617,763.56 × 162,518
  4. Step 4: Simplify right side
    411,838.32x = 100,397,698,244.08
  5. Step 5: Solve for x
    x = 100,397,698,244.08/411,838.32
  6. Step 6: Final answer
    x = 243,779.40

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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.