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Finding the Fourth Proportional to 493,754.81, 681,437.05 and 278,908.72

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Solution

The fourth proportional to 493,754.81, 681,437.05 and 278,908.72 is: 384,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,754.81 : 681,437.05 = 278,908.72 : x
  2. Step 2: Convert to fraction form
    493,754.81/681,437.05 = 278,908.72/x
  3. Step 3: Cross multiply
    493,754.81x = 681,437.05 × 278,908.72
  4. Step 4: Simplify right side
    493,754.81x = 190,058,732,666.16
  5. Step 5: Solve for x
    x = 190,058,732,666.16/493,754.81
  6. Step 6: Final answer
    x = 384,925.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.