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Finding the Fourth Proportional to 352,682.64, 486,710.10 and 209,443.14

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Solution

The fourth proportional to 352,682.64, 486,710.10 and 209,443.14 is: 289,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,682.64 : 486,710.10 = 209,443.14 : x
  2. Step 2: Convert to fraction form
    352,682.64/486,710.10 = 209,443.14/x
  3. Step 3: Cross multiply
    352,682.64x = 486,710.10 × 209,443.14
  4. Step 4: Simplify right side
    352,682.64x = 101,938,091,613.71
  5. Step 5: Solve for x
    x = 101,938,091,613.71/352,682.64
  6. Step 6: Final answer
    x = 289,036.32

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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.