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Finding the Fourth Proportional to 421,156.95, 631,439.54 and 147,536.22

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Solution

The fourth proportional to 421,156.95, 631,439.54 and 147,536.22 is: 221,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,156.95 : 631,439.54 = 147,536.22 : x
  2. Step 2: Convert to fraction form
    421,156.95/631,439.54 = 147,536.22/x
  3. Step 3: Cross multiply
    421,156.95x = 631,439.54 × 147,536.22
  4. Step 4: Simplify right side
    421,156.95x = 93,160,202,890.14
  5. Step 5: Solve for x
    x = 93,160,202,890.14/421,156.95
  6. Step 6: Final answer
    x = 221,200.68

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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.