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Finding the Fourth Proportional to 403,985, 605,977.82 and 154,667.24

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Solution

The fourth proportional to 403,985, 605,977.82 and 154,667.24 is: 232,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,985 : 605,977.82 = 154,667.24 : x
  2. Step 2: Convert to fraction form
    403,985/605,977.82 = 154,667.24/x
  3. Step 3: Cross multiply
    403,985x = 605,977.82 × 154,667.24
  4. Step 4: Simplify right side
    403,985x = 93,724,916,920.62
  5. Step 5: Solve for x
    x = 93,724,916,920.62/403,985
  6. Step 6: Final answer
    x = 232,000.98

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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.