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Finding the Fourth Proportional to 531,513.76, 796,368.48 and 320,708.80

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Solution

The fourth proportional to 531,513.76, 796,368.48 and 320,708.80 is: 480,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,513.76 : 796,368.48 = 320,708.80 : x
  2. Step 2: Convert to fraction form
    531,513.76/796,368.48 = 320,708.80/x
  3. Step 3: Cross multiply
    531,513.76x = 796,368.48 × 320,708.80
  4. Step 4: Simplify right side
    531,513.76x = 255,402,379,578.62
  5. Step 5: Solve for x
    x = 255,402,379,578.62/531,513.76
  6. Step 6: Final answer
    x = 480,518.85

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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.