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Finding the Fourth Proportional to 377,002.96, 520,259.88 and 204,917.20

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Solution

The fourth proportional to 377,002.96, 520,259.88 and 204,917.20 is: 282,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,002.96 : 520,259.88 = 204,917.20 : x
  2. Step 2: Convert to fraction form
    377,002.96/520,259.88 = 204,917.20/x
  3. Step 3: Cross multiply
    377,002.96x = 520,259.88 × 204,917.20
  4. Step 4: Simplify right side
    377,002.96x = 106,610,197,881.94
  5. Step 5: Solve for x
    x = 106,610,197,881.94/377,002.96
  6. Step 6: Final answer
    x = 282,783.45

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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.