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Finding the Fourth Proportional to 537,935.40, 807,680.70 and 405,743.40

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Solution

The fourth proportional to 537,935.40, 807,680.70 and 405,743.40 is: 609,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,935.40 : 807,680.70 = 405,743.40 : x
  2. Step 2: Convert to fraction form
    537,935.40/807,680.70 = 405,743.40/x
  3. Step 3: Cross multiply
    537,935.40x = 807,680.70 × 405,743.40
  4. Step 4: Simplify right side
    537,935.40x = 327,711,113,332.38
  5. Step 5: Solve for x
    x = 327,711,113,332.38/537,935.40
  6. Step 6: Final answer
    x = 609,201.61

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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.