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Finding the Fourth Proportional to 291,970.12, 437,954.22 and 70,354.12

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Solution

The fourth proportional to 291,970.12, 437,954.22 and 70,354.12 is: 105,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,970.12 : 437,954.22 = 70,354.12 : x
  2. Step 2: Convert to fraction form
    291,970.12/437,954.22 = 70,354.12/x
  3. Step 3: Cross multiply
    291,970.12x = 437,954.22 × 70,354.12
  4. Step 4: Simplify right side
    291,970.12x = 30,811,883,748.39
  5. Step 5: Solve for x
    x = 30,811,883,748.39/291,970.12
  6. Step 6: Final answer
    x = 105,530.95

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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.