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Finding the Fourth Proportional to 507,930.20, 761,204.10 and 360,013.40

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Solution

The fourth proportional to 507,930.20, 761,204.10 and 360,013.40 is: 539,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,930.20 : 761,204.10 = 360,013.40 : x
  2. Step 2: Convert to fraction form
    507,930.20/761,204.10 = 360,013.40/x
  3. Step 3: Cross multiply
    507,930.20x = 761,204.10 × 360,013.40
  4. Step 4: Simplify right side
    507,930.20x = 274,043,676,134.94
  5. Step 5: Solve for x
    x = 274,043,676,134.94/507,930.20
  6. Step 6: Final answer
    x = 539,530.19

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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.