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Finding the Fourth Proportional to 260,134.16, 358,983.88 and 145,412.78

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Solution

The fourth proportional to 260,134.16, 358,983.88 and 145,412.78 is: 200,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,134.16 : 358,983.88 = 145,412.78 : x
  2. Step 2: Convert to fraction form
    260,134.16/358,983.88 = 145,412.78/x
  3. Step 3: Cross multiply
    260,134.16x = 358,983.88 × 145,412.78
  4. Step 4: Simplify right side
    260,134.16x = 52,200,843,965.99
  5. Step 5: Solve for x
    x = 52,200,843,965.99/260,134.16
  6. Step 6: Final answer
    x = 200,668.93

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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.