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Finding the Fourth Proportional to 510,113.48, 703,971.72 and 280,694.48

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Solution

The fourth proportional to 510,113.48, 703,971.72 and 280,694.48 is: 387,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,113.48 : 703,971.72 = 280,694.48 : x
  2. Step 2: Convert to fraction form
    510,113.48/703,971.72 = 280,694.48/x
  3. Step 3: Cross multiply
    510,113.48x = 703,971.72 × 280,694.48
  4. Step 4: Simplify right side
    510,113.48x = 197,600,975,880.11
  5. Step 5: Solve for x
    x = 197,600,975,880.11/510,113.48
  6. Step 6: Final answer
    x = 387,366.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.