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Finding the Fourth Proportional to 405,985.80, 608,978.70 and 184,369.80

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Solution

The fourth proportional to 405,985.80, 608,978.70 and 184,369.80 is: 276,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,985.80 : 608,978.70 = 184,369.80 : x
  2. Step 2: Convert to fraction form
    405,985.80/608,978.70 = 184,369.80/x
  3. Step 3: Cross multiply
    405,985.80x = 608,978.70 × 184,369.80
  4. Step 4: Simplify right side
    405,985.80x = 112,277,281,123.26
  5. Step 5: Solve for x
    x = 112,277,281,123.26/405,985.80
  6. Step 6: Final answer
    x = 276,554.70

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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.