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Finding the Fourth Proportional to 553,730.85, 830,780.55 and 198,772.65

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Solution

The fourth proportional to 553,730.85, 830,780.55 and 198,772.65 is: 298,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,730.85 : 830,780.55 = 198,772.65 : x
  2. Step 2: Convert to fraction form
    553,730.85/830,780.55 = 198,772.65/x
  3. Step 3: Cross multiply
    553,730.85x = 830,780.55 × 198,772.65
  4. Step 4: Simplify right side
    553,730.85x = 165,136,451,491.96
  5. Step 5: Solve for x
    x = 165,136,451,491.96/553,730.85
  6. Step 6: Final answer
    x = 298,225.12

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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.