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Finding the Fourth Proportional to 520,988, 781,473.44 and 165,997.20

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Solution

The fourth proportional to 520,988, 781,473.44 and 165,997.20 is: 248,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,988 : 781,473.44 = 165,997.20 : x
  2. Step 2: Convert to fraction form
    520,988/781,473.44 = 165,997.20/x
  3. Step 3: Cross multiply
    520,988x = 781,473.44 × 165,997.20
  4. Step 4: Simplify right side
    520,988x = 129,722,402,914.37
  5. Step 5: Solve for x
    x = 129,722,402,914.37/520,988
  6. Step 6: Final answer
    x = 248,993.07

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1.5x scale

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.