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Finding the Fourth Proportional to 510,021.63, 703,802.06 and 280,541.88

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Solution

The fourth proportional to 510,021.63, 703,802.06 and 280,541.88 is: 387,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,021.63 : 703,802.06 = 280,541.88 : x
  2. Step 2: Convert to fraction form
    510,021.63/703,802.06 = 280,541.88/x
  3. Step 3: Cross multiply
    510,021.63x = 703,802.06 × 280,541.88
  4. Step 4: Simplify right side
    510,021.63x = 197,445,951,657.56
  5. Step 5: Solve for x
    x = 197,445,951,657.56/510,021.63
  6. Step 6: Final answer
    x = 387,132.51

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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.