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Finding the Fourth Proportional to 421,258.80, 632,154.96 and 307,193.52

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Solution

The fourth proportional to 421,258.80, 632,154.96 and 307,193.52 is: 460,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,258.80 : 632,154.96 = 307,193.52 : x
  2. Step 2: Convert to fraction form
    421,258.80/632,154.96 = 307,193.52/x
  3. Step 3: Cross multiply
    421,258.80x = 632,154.96 × 307,193.52
  4. Step 4: Simplify right side
    421,258.80x = 194,193,907,347.86
  5. Step 5: Solve for x
    x = 194,193,907,347.86/421,258.80
  6. Step 6: Final answer
    x = 460,984.81

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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.