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Finding the Fourth Proportional to 768,005.48, 1,059,873.03 and 419,164.94

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Solution

The fourth proportional to 768,005.48, 1,059,873.03 and 419,164.94 is: 578,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,005.48 : 1,059,873.03 = 419,164.94 : x
  2. Step 2: Convert to fraction form
    768,005.48/1,059,873.03 = 419,164.94/x
  3. Step 3: Cross multiply
    768,005.48x = 1,059,873.03 × 419,164.94
  4. Step 4: Simplify right side
    768,005.48x = 444,261,609,728.20
  5. Step 5: Solve for x
    x = 444,261,609,728.20/768,005.48
  6. Step 6: Final answer
    x = 578,461.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.