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Finding the Fourth Proportional to 810,953.60, 1,216,930.66 and 411,880.76

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Solution

The fourth proportional to 810,953.60, 1,216,930.66 and 411,880.76 is: 618,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,953.60 : 1,216,930.66 = 411,880.76 : x
  2. Step 2: Convert to fraction form
    810,953.60/1,216,930.66 = 411,880.76/x
  3. Step 3: Cross multiply
    810,953.60x = 1,216,930.66 × 411,880.76
  4. Step 4: Simplify right side
    810,953.60x = 501,230,325,108.10
  5. Step 5: Solve for x
    x = 501,230,325,108.10/810,953.60
  6. Step 6: Final answer
    x = 618,075.22

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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.