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Finding the Fourth Proportional to 310,542.30, 465,813.45 and 276,716.70

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Solution

The fourth proportional to 310,542.30, 465,813.45 and 276,716.70 is: 415,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,542.30 : 465,813.45 = 276,716.70 : x
  2. Step 2: Convert to fraction form
    310,542.30/465,813.45 = 276,716.70/x
  3. Step 3: Cross multiply
    310,542.30x = 465,813.45 × 276,716.70
  4. Step 4: Simplify right side
    310,542.30x = 128,898,360,699.62
  5. Step 5: Solve for x
    x = 128,898,360,699.62/310,542.30
  6. Step 6: Final answer
    x = 415,075.05

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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.