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Finding the Fourth Proportional to 309,643.40, 427,347.42 and 182,330.84

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Solution

The fourth proportional to 309,643.40, 427,347.42 and 182,330.84 is: 251,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,643.40 : 427,347.42 = 182,330.84 : x
  2. Step 2: Convert to fraction form
    309,643.40/427,347.42 = 182,330.84/x
  3. Step 3: Cross multiply
    309,643.40x = 427,347.42 × 182,330.84
  4. Step 4: Simplify right side
    309,643.40x = 77,918,614,060.43
  5. Step 5: Solve for x
    x = 77,918,614,060.43/309,643.40
  6. Step 6: Final answer
    x = 251,639.83

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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.