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Finding the Fourth Proportional to 507,783.29, 761,478.03 and 270,996.80

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Solution

The fourth proportional to 507,783.29, 761,478.03 and 270,996.80 is: 406,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,783.29 : 761,478.03 = 270,996.80 : x
  2. Step 2: Convert to fraction form
    507,783.29/761,478.03 = 270,996.80/x
  3. Step 3: Cross multiply
    507,783.29x = 761,478.03 × 270,996.80
  4. Step 4: Simplify right side
    507,783.29x = 206,358,105,592.91
  5. Step 5: Solve for x
    x = 206,358,105,592.91/507,783.29
  6. Step 6: Final answer
    x = 406,390.11

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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.