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Finding the Fourth Proportional to 518,819.78, 773,071.83 and 462,225

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Solution

The fourth proportional to 518,819.78, 773,071.83 and 462,225 is: 688,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,819.78 : 773,071.83 = 462,225 : x
  2. Step 2: Convert to fraction form
    518,819.78/773,071.83 = 462,225/x
  3. Step 3: Cross multiply
    518,819.78x = 773,071.83 × 462,225
  4. Step 4: Simplify right side
    518,819.78x = 357,333,126,621.75
  5. Step 5: Solve for x
    x = 357,333,126,621.75/518,819.78
  6. Step 6: Final answer
    x = 688,742.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.