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Finding the Fourth Proportional to 385,903.70, 578,855.55 and 105,420.95

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Solution

The fourth proportional to 385,903.70, 578,855.55 and 105,420.95 is: 158,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,903.70 : 578,855.55 = 105,420.95 : x
  2. Step 2: Convert to fraction form
    385,903.70/578,855.55 = 105,420.95/x
  3. Step 3: Cross multiply
    385,903.70x = 578,855.55 × 105,420.95
  4. Step 4: Simplify right side
    385,903.70x = 61,023,501,993.77
  5. Step 5: Solve for x
    x = 61,023,501,993.77/385,903.70
  6. Step 6: Final answer
    x = 158,131.43

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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.