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Finding the Fourth Proportional to 421,358.98, 632,101.40 and 155,099.24

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Solution

The fourth proportional to 421,358.98, 632,101.40 and 155,099.24 is: 232,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,358.98 : 632,101.40 = 155,099.24 : x
  2. Step 2: Convert to fraction form
    421,358.98/632,101.40 = 155,099.24/x
  3. Step 3: Cross multiply
    421,358.98x = 632,101.40 × 155,099.24
  4. Step 4: Simplify right side
    421,358.98x = 98,038,446,742.94
  5. Step 5: Solve for x
    x = 98,038,446,742.94/421,358.98
  6. Step 6: Final answer
    x = 232,672.02

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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.