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Finding the Fourth Proportional to 289,968.20, 434,952.30 and 205,987.40

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Solution

The fourth proportional to 289,968.20, 434,952.30 and 205,987.40 is: 308,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,968.20 : 434,952.30 = 205,987.40 : x
  2. Step 2: Convert to fraction form
    289,968.20/434,952.30 = 205,987.40/x
  3. Step 3: Cross multiply
    289,968.20x = 434,952.30 × 205,987.40
  4. Step 4: Simplify right side
    289,968.20x = 89,594,693,401.02
  5. Step 5: Solve for x
    x = 89,594,693,401.02/289,968.20
  6. Step 6: Final answer
    x = 308,981.10

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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.