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Finding the Fourth Proportional to 280,526.72, 420,844.95 and 103,035.06

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Solution

The fourth proportional to 280,526.72, 420,844.95 and 103,035.06 is: 154,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,526.72 : 420,844.95 = 103,035.06 : x
  2. Step 2: Convert to fraction form
    280,526.72/420,844.95 = 103,035.06/x
  3. Step 3: Cross multiply
    280,526.72x = 420,844.95 × 103,035.06
  4. Step 4: Simplify right side
    280,526.72x = 43,361,784,673.95
  5. Step 5: Solve for x
    x = 43,361,784,673.95/280,526.72
  6. Step 6: Final answer
    x = 154,572.75

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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.