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Finding the Fourth Proportional to 385,712.45, 578,660.40 and 160,947.98

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Solution

The fourth proportional to 385,712.45, 578,660.40 and 160,947.98 is: 241,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,712.45 : 578,660.40 = 160,947.98 : x
  2. Step 2: Convert to fraction form
    385,712.45/578,660.40 = 160,947.98/x
  3. Step 3: Cross multiply
    385,712.45x = 578,660.40 × 160,947.98
  4. Step 4: Simplify right side
    385,712.45x = 93,134,222,485.99
  5. Step 5: Solve for x
    x = 93,134,222,485.99/385,712.45
  6. Step 6: Final answer
    x = 241,460.24

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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.