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Finding the Fourth Proportional to 516,438.40, 712,751.52 and 290,083.84

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Solution

The fourth proportional to 516,438.40, 712,751.52 and 290,083.84 is: 400,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,438.40 : 712,751.52 = 290,083.84 : x
  2. Step 2: Convert to fraction form
    516,438.40/712,751.52 = 290,083.84/x
  3. Step 3: Cross multiply
    516,438.40x = 712,751.52 × 290,083.84
  4. Step 4: Simplify right side
    516,438.40x = 206,757,697,887.44
  5. Step 5: Solve for x
    x = 206,757,697,887.44/516,438.40
  6. Step 6: Final answer
    x = 400,353.07

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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.