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Finding the Fourth Proportional to 364,642, 503,231.20 and 203,528.40

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Solution

The fourth proportional to 364,642, 503,231.20 and 203,528.40 is: 280,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,642 : 503,231.20 = 203,528.40 : x
  2. Step 2: Convert to fraction form
    364,642/503,231.20 = 203,528.40/x
  3. Step 3: Cross multiply
    364,642x = 503,231.20 × 203,528.40
  4. Step 4: Simplify right side
    364,642x = 102,421,840,966.08
  5. Step 5: Solve for x
    x = 102,421,840,966.08/364,642
  6. Step 6: Final answer
    x = 280,883.28

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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.