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Finding the Fourth Proportional to 507,809.92, 761,821.68 and 192,259.84

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Solution

The fourth proportional to 507,809.92, 761,821.68 and 192,259.84 is: 288,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,809.92 : 761,821.68 = 192,259.84 : x
  2. Step 2: Convert to fraction form
    507,809.92/761,821.68 = 192,259.84/x
  3. Step 3: Cross multiply
    507,809.92x = 761,821.68 × 192,259.84
  4. Step 4: Simplify right side
    507,809.92x = 146,467,714,305.33
  5. Step 5: Solve for x
    x = 146,467,714,305.33/507,809.92
  6. Step 6: Final answer
    x = 288,430.20

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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.