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Finding the Fourth Proportional to 411,643.60, 617,465.40 and 343,992.40

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Solution

The fourth proportional to 411,643.60, 617,465.40 and 343,992.40 is: 515,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,643.60 : 617,465.40 = 343,992.40 : x
  2. Step 2: Convert to fraction form
    411,643.60/617,465.40 = 343,992.40/x
  3. Step 3: Cross multiply
    411,643.60x = 617,465.40 × 343,992.40
  4. Step 4: Simplify right side
    411,643.60x = 212,403,404,862.96
  5. Step 5: Solve for x
    x = 212,403,404,862.96/411,643.60
  6. Step 6: Final answer
    x = 515,988.60

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1.5x scale

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.