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Finding the Fourth Proportional to 516,703, 713,116.96 and 290,348.52

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Solution

The fourth proportional to 516,703, 713,116.96 and 290,348.52 is: 400,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,703 : 713,116.96 = 290,348.52 : x
  2. Step 2: Convert to fraction form
    516,703/713,116.96 = 290,348.52/x
  3. Step 3: Cross multiply
    516,703x = 713,116.96 × 290,348.52
  4. Step 4: Simplify right side
    516,703x = 207,052,453,922.90
  5. Step 5: Solve for x
    x = 207,052,453,922.90/516,703
  6. Step 6: Final answer
    x = 400,718.51

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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.