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Finding the Fourth Proportional to 291,630.21, 437,445.32 and 91,970.78

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Solution

The fourth proportional to 291,630.21, 437,445.32 and 91,970.78 is: 137,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,630.21 : 437,445.32 = 91,970.78 : x
  2. Step 2: Convert to fraction form
    291,630.21/437,445.32 = 91,970.78/x
  3. Step 3: Cross multiply
    291,630.21x = 437,445.32 × 91,970.78
  4. Step 4: Simplify right side
    291,630.21x = 40,232,184,640.67
  5. Step 5: Solve for x
    x = 40,232,184,640.67/291,630.21
  6. Step 6: Final answer
    x = 137,956.16

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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.