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Finding the Fourth Proportional to 667,088.86, 920,583.23 and 361,165.46

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Solution

The fourth proportional to 667,088.86, 920,583.23 and 361,165.46 is: 498,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,088.86 : 920,583.23 = 361,165.46 : x
  2. Step 2: Convert to fraction form
    667,088.86/920,583.23 = 361,165.46/x
  3. Step 3: Cross multiply
    667,088.86x = 920,583.23 × 361,165.46
  4. Step 4: Simplify right side
    667,088.86x = 332,482,863,925.41
  5. Step 5: Solve for x
    x = 332,482,863,925.41/667,088.86
  6. Step 6: Final answer
    x = 498,408.66

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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.