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Finding the Fourth Proportional to 356,903.46, 535,392.10 and 120,264.60

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Solution

The fourth proportional to 356,903.46, 535,392.10 and 120,264.60 is: 180,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,903.46 : 535,392.10 = 120,264.60 : x
  2. Step 2: Convert to fraction form
    356,903.46/535,392.10 = 120,264.60/x
  3. Step 3: Cross multiply
    356,903.46x = 535,392.10 × 120,264.60
  4. Step 4: Simplify right side
    356,903.46x = 64,388,716,749.66
  5. Step 5: Solve for x
    x = 64,388,716,749.66/356,903.46
  6. Step 6: Final answer
    x = 180,409.34

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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.