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Finding the Fourth Proportional to 538,042.40, 807,841.20 and 405,850.40

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Solution

The fourth proportional to 538,042.40, 807,841.20 and 405,850.40 is: 609,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,042.40 : 807,841.20 = 405,850.40 : x
  2. Step 2: Convert to fraction form
    538,042.40/807,841.20 = 405,850.40/x
  3. Step 3: Cross multiply
    538,042.40x = 807,841.20 × 405,850.40
  4. Step 4: Simplify right side
    538,042.40x = 327,862,674,156.48
  5. Step 5: Solve for x
    x = 327,862,674,156.48/538,042.40
  6. Step 6: Final answer
    x = 609,362.15

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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.