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Finding the Fourth Proportional to 375,416.82, 518,070.06 and 205,652.16

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Solution

The fourth proportional to 375,416.82, 518,070.06 and 205,652.16 is: 283,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,416.82 : 518,070.06 = 205,652.16 : x
  2. Step 2: Convert to fraction form
    375,416.82/518,070.06 = 205,652.16/x
  3. Step 3: Cross multiply
    375,416.82x = 518,070.06 × 205,652.16
  4. Step 4: Simplify right side
    375,416.82x = 106,542,226,870.33
  5. Step 5: Solve for x
    x = 106,542,226,870.33/375,416.82
  6. Step 6: Final answer
    x = 283,797.16

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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.