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Finding the Fourth Proportional to 516,641.58, 774,961.29 and 142,663.50

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Solution

The fourth proportional to 516,641.58, 774,961.29 and 142,663.50 is: 213,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,641.58 : 774,961.29 = 142,663.50 : x
  2. Step 2: Convert to fraction form
    516,641.58/774,961.29 = 142,663.50/x
  3. Step 3: Cross multiply
    516,641.58x = 774,961.29 × 142,663.50
  4. Step 4: Simplify right side
    516,641.58x = 110,558,689,995.92
  5. Step 5: Solve for x
    x = 110,558,689,995.92/516,641.58
  6. Step 6: Final answer
    x = 213,994.95

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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.