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Finding the Fourth Proportional to 429,328.95, 644,288.70 and 148,846.20

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Solution

The fourth proportional to 429,328.95, 644,288.70 and 148,846.20 is: 223,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,328.95 : 644,288.70 = 148,846.20 : x
  2. Step 2: Convert to fraction form
    429,328.95/644,288.70 = 148,846.20/x
  3. Step 3: Cross multiply
    429,328.95x = 644,288.70 × 148,846.20
  4. Step 4: Simplify right side
    429,328.95x = 95,899,924,697.94
  5. Step 5: Solve for x
    x = 95,899,924,697.94/429,328.95
  6. Step 6: Final answer
    x = 223,371.67

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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.