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Finding the Fourth Proportional to 553,165.72, 829,709.70 and 315,764.44

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Solution

The fourth proportional to 553,165.72, 829,709.70 and 315,764.44 is: 473,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,165.72 : 829,709.70 = 315,764.44 : x
  2. Step 2: Convert to fraction form
    553,165.72/829,709.70 = 315,764.44/x
  3. Step 3: Cross multiply
    553,165.72x = 829,709.70 × 315,764.44
  4. Step 4: Simplify right side
    553,165.72x = 261,992,818,783.07
  5. Step 5: Solve for x
    x = 261,992,818,783.07/553,165.72
  6. Step 6: Final answer
    x = 473,624.47

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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.