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Finding the Fourth Proportional to 280,539.72, 420,864.44 and 103,048.08

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Solution

The fourth proportional to 280,539.72, 420,864.44 and 103,048.08 is: 154,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,539.72 : 420,864.44 = 103,048.08 : x
  2. Step 2: Convert to fraction form
    280,539.72/420,864.44 = 103,048.08/x
  3. Step 3: Cross multiply
    280,539.72x = 420,864.44 × 103,048.08
  4. Step 4: Simplify right side
    280,539.72x = 43,369,272,482.28
  5. Step 5: Solve for x
    x = 43,369,272,482.28/280,539.72
  6. Step 6: Final answer
    x = 154,592.27

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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.