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Finding the Fourth Proportional to 411,643.20, 616,255.20 and 306,926.40

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Solution

The fourth proportional to 411,643.20, 616,255.20 and 306,926.40 is: 459,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,643.20 : 616,255.20 = 306,926.40 : x
  2. Step 2: Convert to fraction form
    411,643.20/616,255.20 = 306,926.40/x
  3. Step 3: Cross multiply
    411,643.20x = 616,255.20 × 306,926.40
  4. Step 4: Simplify right side
    411,643.20x = 189,144,990,017.28
  5. Step 5: Solve for x
    x = 189,144,990,017.28/411,643.20
  6. Step 6: Final answer
    x = 459,487.71

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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.