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Finding the Fourth Proportional to 385,914.56, 578,562.64 and 183,408.96

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Solution

The fourth proportional to 385,914.56, 578,562.64 and 183,408.96 is: 274,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,914.56 : 578,562.64 = 183,408.96 : x
  2. Step 2: Convert to fraction form
    385,914.56/578,562.64 = 183,408.96/x
  3. Step 3: Cross multiply
    385,914.56x = 578,562.64 × 183,408.96
  4. Step 4: Simplify right side
    385,914.56x = 106,113,572,097.25
  5. Step 5: Solve for x
    x = 106,113,572,097.25/385,914.56
  6. Step 6: Final answer
    x = 274,966.49

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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.