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Finding the Fourth Proportional to 537,940.40, 807,688.20 and 405,748.40

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Solution

The fourth proportional to 537,940.40, 807,688.20 and 405,748.40 is: 609,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,940.40 : 807,688.20 = 405,748.40 : x
  2. Step 2: Convert to fraction form
    537,940.40/807,688.20 = 405,748.40/x
  3. Step 3: Cross multiply
    537,940.40x = 807,688.20 × 405,748.40
  4. Step 4: Simplify right side
    537,940.40x = 327,718,194,848.88
  5. Step 5: Solve for x
    x = 327,718,194,848.88/537,940.40
  6. Step 6: Final answer
    x = 609,209.11

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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.