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Finding the Fourth Proportional to 520,049.70, 778,519.35 and 309,579.30

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Solution

The fourth proportional to 520,049.70, 778,519.35 and 309,579.30 is: 463,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,049.70 : 778,519.35 = 309,579.30 : x
  2. Step 2: Convert to fraction form
    520,049.70/778,519.35 = 309,579.30/x
  3. Step 3: Cross multiply
    520,049.70x = 778,519.35 × 309,579.30
  4. Step 4: Simplify right side
    520,049.70x = 241,013,475,409.46
  5. Step 5: Solve for x
    x = 241,013,475,409.46/520,049.70
  6. Step 6: Final answer
    x = 463,443.16

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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.