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Finding the Fourth Proportional to 516,705, 713,119.72 and 290,350.52

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Solution

The fourth proportional to 516,705, 713,119.72 and 290,350.52 is: 400,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,705 : 713,119.72 = 290,350.52 : x
  2. Step 2: Convert to fraction form
    516,705/713,119.72 = 290,350.52/x
  3. Step 3: Cross multiply
    516,705x = 713,119.72 × 290,350.52
  4. Step 4: Simplify right side
    516,705x = 207,054,681,524.25
  5. Step 5: Solve for x
    x = 207,054,681,524.25/516,705
  6. Step 6: Final answer
    x = 400,721.27

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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.