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Finding the Fourth Proportional to 3,165,978.32, 4,748,900.88 and 769,835.24

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Solution

The fourth proportional to 3,165,978.32, 4,748,900.88 and 769,835.24 is: 1,154,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,978.32 : 4,748,900.88 = 769,835.24 : x
  2. Step 2: Convert to fraction form
    3,165,978.32/4,748,900.88 = 769,835.24/x
  3. Step 3: Cross multiply
    3,165,978.32x = 4,748,900.88 × 769,835.24
  4. Step 4: Simplify right side
    3,165,978.32x = 3,655,871,248,691.01
  5. Step 5: Solve for x
    x = 3,655,871,248,691.01/3,165,978.32
  6. Step 6: Final answer
    x = 1,154,736.67

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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.