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Finding the Fourth Proportional to 280,141.81, 420,215.64 and 80,461.74

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Solution

The fourth proportional to 280,141.81, 420,215.64 and 80,461.74 is: 120,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,141.81 : 420,215.64 = 80,461.74 : x
  2. Step 2: Convert to fraction form
    280,141.81/420,215.64 = 80,461.74/x
  3. Step 3: Cross multiply
    280,141.81x = 420,215.64 × 80,461.74
  4. Step 4: Simplify right side
    280,141.81x = 33,811,281,569.61
  5. Step 5: Solve for x
    x = 33,811,281,569.61/280,141.81
  6. Step 6: Final answer
    x = 120,693.45

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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.