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Finding the Fourth Proportional to 519,287.20, 778,857.90 and 164,337.10

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Solution

The fourth proportional to 519,287.20, 778,857.90 and 164,337.10 is: 246,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,287.20 : 778,857.90 = 164,337.10 : x
  2. Step 2: Convert to fraction form
    519,287.20/778,857.90 = 164,337.10/x
  3. Step 3: Cross multiply
    519,287.20x = 778,857.90 × 164,337.10
  4. Step 4: Simplify right side
    519,287.20x = 127,995,248,598.09
  5. Step 5: Solve for x
    x = 127,995,248,598.09/519,287.20
  6. Step 6: Final answer
    x = 246,482.58

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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.