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Finding the Fourth Proportional to 280,642.90, 421,130.48 and 103,274.50

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Solution

The fourth proportional to 280,642.90, 421,130.48 and 103,274.50 is: 154,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,642.90 : 421,130.48 = 103,274.50 : x
  2. Step 2: Convert to fraction form
    280,642.90/421,130.48 = 103,274.50/x
  3. Step 3: Cross multiply
    280,642.90x = 421,130.48 × 103,274.50
  4. Step 4: Simplify right side
    280,642.90x = 43,492,039,756.76
  5. Step 5: Solve for x
    x = 43,492,039,756.76/280,642.90
  6. Step 6: Final answer
    x = 154,972.88

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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.