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Finding the Fourth Proportional to 338,642.80, 507,278.76 and 161,321.20

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Solution

The fourth proportional to 338,642.80, 507,278.76 and 161,321.20 is: 241,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,642.80 : 507,278.76 = 161,321.20 : x
  2. Step 2: Convert to fraction form
    338,642.80/507,278.76 = 161,321.20/x
  3. Step 3: Cross multiply
    338,642.80x = 507,278.76 × 161,321.20
  4. Step 4: Simplify right side
    338,642.80x = 81,834,818,297.71
  5. Step 5: Solve for x
    x = 81,834,818,297.71/338,642.80
  6. Step 6: Final answer
    x = 241,655.27

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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.