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Finding the Fourth Proportional to 503,204.40, 694,421.10 and 288,343.80

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Solution

The fourth proportional to 503,204.40, 694,421.10 and 288,343.80 is: 397,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,204.40 : 694,421.10 = 288,343.80 : x
  2. Step 2: Convert to fraction form
    503,204.40/694,421.10 = 288,343.80/x
  3. Step 3: Cross multiply
    503,204.40x = 694,421.10 × 288,343.80
  4. Step 4: Simplify right side
    503,204.40x = 200,232,018,774.18
  5. Step 5: Solve for x
    x = 200,232,018,774.18/503,204.40
  6. Step 6: Final answer
    x = 397,913.89

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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.