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Finding the Fourth Proportional to 513,202.12, 769,712.46 and 139,254.28

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Solution

The fourth proportional to 513,202.12, 769,712.46 and 139,254.28 is: 208,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,202.12 : 769,712.46 = 139,254.28 : x
  2. Step 2: Convert to fraction form
    513,202.12/769,712.46 = 139,254.28/x
  3. Step 3: Cross multiply
    513,202.12x = 769,712.46 × 139,254.28
  4. Step 4: Simplify right side
    513,202.12x = 107,185,754,424.33
  5. Step 5: Solve for x
    x = 107,185,754,424.33/513,202.12
  6. Step 6: Final answer
    x = 208,856.80

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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.