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Finding the Fourth Proportional to 507,645.20, 761,710.80 and 339,246.20

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Solution

The fourth proportional to 507,645.20, 761,710.80 and 339,246.20 is: 509,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,645.20 : 761,710.80 = 339,246.20 : x
  2. Step 2: Convert to fraction form
    507,645.20/761,710.80 = 339,246.20/x
  3. Step 3: Cross multiply
    507,645.20x = 761,710.80 × 339,246.20
  4. Step 4: Simplify right side
    507,645.20x = 258,407,494,398.96
  5. Step 5: Solve for x
    x = 258,407,494,398.96/507,645.20
  6. Step 6: Final answer
    x = 509,031.69

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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.