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Finding the Fourth Proportional to 385,650.58, 578,458.95 and 105,166.90

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Solution

The fourth proportional to 385,650.58, 578,458.95 and 105,166.90 is: 157,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,650.58 : 578,458.95 = 105,166.90 : x
  2. Step 2: Convert to fraction form
    385,650.58/578,458.95 = 105,166.90/x
  3. Step 3: Cross multiply
    385,650.58x = 578,458.95 × 105,166.90
  4. Step 4: Simplify right side
    385,650.58x = 60,834,734,548.76
  5. Step 5: Solve for x
    x = 60,834,734,548.76/385,650.58
  6. Step 6: Final answer
    x = 157,745.74

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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.