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Finding the Fourth Proportional to 538,031.40, 807,824.70 and 405,839.40

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Solution

The fourth proportional to 538,031.40, 807,824.70 and 405,839.40 is: 609,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,031.40 : 807,824.70 = 405,839.40 : x
  2. Step 2: Convert to fraction form
    538,031.40/807,824.70 = 405,839.40/x
  3. Step 3: Cross multiply
    538,031.40x = 807,824.70 × 405,839.40
  4. Step 4: Simplify right side
    538,031.40x = 327,847,091,553.18
  5. Step 5: Solve for x
    x = 327,847,091,553.18/538,031.40
  6. Step 6: Final answer
    x = 609,345.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.