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Finding the Fourth Proportional to 517,880.40, 775,508.40 and 412,904.40

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Solution

The fourth proportional to 517,880.40, 775,508.40 and 412,904.40 is: 618,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,880.40 : 775,508.40 = 412,904.40 : x
  2. Step 2: Convert to fraction form
    517,880.40/775,508.40 = 412,904.40/x
  3. Step 3: Cross multiply
    517,880.40x = 775,508.40 × 412,904.40
  4. Step 4: Simplify right side
    517,880.40x = 320,210,830,596.96
  5. Step 5: Solve for x
    x = 320,210,830,596.96/517,880.40
  6. Step 6: Final answer
    x = 618,310.39

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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.