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Finding the Fourth Proportional to 491,564.31, 737,346.47 and 281,054.63

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Solution

The fourth proportional to 491,564.31, 737,346.47 and 281,054.63 is: 421,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,564.31 : 737,346.47 = 281,054.63 : x
  2. Step 2: Convert to fraction form
    491,564.31/737,346.47 = 281,054.63/x
  3. Step 3: Cross multiply
    491,564.31x = 737,346.47 × 281,054.63
  4. Step 4: Simplify right side
    491,564.31x = 207,234,639,307.66
  5. Step 5: Solve for x
    x = 207,234,639,307.66/491,564.31
  6. Step 6: Final answer
    x = 421,581.95

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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.