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Finding the Fourth Proportional to 553,885.50, 830,827.61 and 198,899.90

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Solution

The fourth proportional to 553,885.50, 830,827.61 and 198,899.90 is: 298,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,885.50 : 830,827.61 = 198,899.90 : x
  2. Step 2: Convert to fraction form
    553,885.50/830,827.61 = 198,899.90/x
  3. Step 3: Cross multiply
    553,885.50x = 830,827.61 × 198,899.90
  4. Step 4: Simplify right side
    553,885.50x = 165,251,528,546.24
  5. Step 5: Solve for x
    x = 165,251,528,546.24/553,885.50
  6. Step 6: Final answer
    x = 298,349.62

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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.