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Finding the Fourth Proportional to 280,635.95, 421,119.93 and 103,267.46

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Solution

The fourth proportional to 280,635.95, 421,119.93 and 103,267.46 is: 154,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,635.95 : 421,119.93 = 103,267.46 : x
  2. Step 2: Convert to fraction form
    280,635.95/421,119.93 = 103,267.46/x
  3. Step 3: Cross multiply
    280,635.95x = 421,119.93 × 103,267.46
  4. Step 4: Simplify right side
    280,635.95x = 43,487,985,526.48
  5. Step 5: Solve for x
    x = 43,487,985,526.48/280,635.95
  6. Step 6: Final answer
    x = 154,962.28

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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.