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Finding the Fourth Proportional to 291,403.78, 436,994.93 and 139,444.87

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Solution

The fourth proportional to 291,403.78, 436,994.93 and 139,444.87 is: 209,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,403.78 : 436,994.93 = 139,444.87 : x
  2. Step 2: Convert to fraction form
    291,403.78/436,994.93 = 139,444.87/x
  3. Step 3: Cross multiply
    291,403.78x = 436,994.93 × 139,444.87
  4. Step 4: Simplify right side
    291,403.78x = 60,936,700,507.28
  5. Step 5: Solve for x
    x = 60,936,700,507.28/291,403.78
  6. Step 6: Final answer
    x = 209,114.31

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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.