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Finding the Fourth Proportional to 411,643.80, 617,465.70 and 234,496.80

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Solution

The fourth proportional to 411,643.80, 617,465.70 and 234,496.80 is: 351,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,643.80 : 617,465.70 = 234,496.80 : x
  2. Step 2: Convert to fraction form
    411,643.80/617,465.70 = 234,496.80/x
  3. Step 3: Cross multiply
    411,643.80x = 617,465.70 × 234,496.80
  4. Step 4: Simplify right side
    411,643.80x = 144,793,730,759.76
  5. Step 5: Solve for x
    x = 144,793,730,759.76/411,643.80
  6. Step 6: Final answer
    x = 351,745.20

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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.