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Finding the Fourth Proportional to 486,263.70, 729,322.59 and 153,796.50

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Solution

The fourth proportional to 486,263.70, 729,322.59 and 153,796.50 is: 230,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,263.70 : 729,322.59 = 153,796.50 : x
  2. Step 2: Convert to fraction form
    486,263.70/729,322.59 = 153,796.50/x
  3. Step 3: Cross multiply
    486,263.70x = 729,322.59 × 153,796.50
  4. Step 4: Simplify right side
    486,263.70x = 112,167,261,712.94
  5. Step 5: Solve for x
    x = 112,167,261,712.94/486,263.70
  6. Step 6: Final answer
    x = 230,671.67

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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.