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Finding the Fourth Proportional to 361,337.34, 498,632.30 and 208,381.98

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Solution

The fourth proportional to 361,337.34, 498,632.30 and 208,381.98 is: 287,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,337.34 : 498,632.30 = 208,381.98 : x
  2. Step 2: Convert to fraction form
    361,337.34/498,632.30 = 208,381.98/x
  3. Step 3: Cross multiply
    361,337.34x = 498,632.30 × 208,381.98
  4. Step 4: Simplify right side
    361,337.34x = 103,905,984,924.04
  5. Step 5: Solve for x
    x = 103,905,984,924.04/361,337.34
  6. Step 6: Final answer
    x = 287,559.50

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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.