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Finding the Fourth Proportional to 516,415.52, 712,788.75 and 290,133.92

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Solution

The fourth proportional to 516,415.52, 712,788.75 and 290,133.92 is: 400,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,415.52 : 712,788.75 = 290,133.92 : x
  2. Step 2: Convert to fraction form
    516,415.52/712,788.75 = 290,133.92/x
  3. Step 3: Cross multiply
    516,415.52x = 712,788.75 × 290,133.92
  4. Step 4: Simplify right side
    516,415.52x = 206,804,194,169.40
  5. Step 5: Solve for x
    x = 206,804,194,169.40/516,415.52
  6. Step 6: Final answer
    x = 400,460.84

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1.5x scale

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.