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Finding the Fourth Proportional to 421,643.32, 632,459.39 and 101,793.47

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Solution

The fourth proportional to 421,643.32, 632,459.39 and 101,793.47 is: 152,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,643.32 : 632,459.39 = 101,793.47 : x
  2. Step 2: Convert to fraction form
    421,643.32/632,459.39 = 101,793.47/x
  3. Step 3: Cross multiply
    421,643.32x = 632,459.39 × 101,793.47
  4. Step 4: Simplify right side
    421,643.32x = 64,380,232,270.92
  5. Step 5: Solve for x
    x = 64,380,232,270.92/421,643.32
  6. Step 6: Final answer
    x = 152,688.85

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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.