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Finding the Fourth Proportional to 492,950.16, 680,105.76 and 402,149.16

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Solution

The fourth proportional to 492,950.16, 680,105.76 and 402,149.16 is: 554,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,950.16 : 680,105.76 = 402,149.16 : x
  2. Step 2: Convert to fraction form
    492,950.16/680,105.76 = 402,149.16/x
  3. Step 3: Cross multiply
    492,950.16x = 680,105.76 × 402,149.16
  4. Step 4: Simplify right side
    492,950.16x = 273,503,960,095.16
  5. Step 5: Solve for x
    x = 273,503,960,095.16/492,950.16
  6. Step 6: Final answer
    x = 554,830.86

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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.